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data-click-track="profile-work-strip-title" href="https://www.academia.edu/82302039/Semi_flexible_compact_polymers_in_two_dimensional_nonhomogeneous_confinement">Semi-flexible compact polymers in two dimensional nonhomogeneous confinement</a></div><div class="wp-workCard_item"><span>Journal of Physics A: Mathematical and Theoretical</span><span>, 2019</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="895d96bc7ed7219f83780606d17f03c8" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":88055182,"asset_id":82302039,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/88055182/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: 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|| _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "895d96bc7ed7219f83780606d17f03c8" } } $('.js-work-strip[data-work-id=82302039]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":82302039,"title":"Semi-flexible compact polymers in two dimensional nonhomogeneous confinement","translated_title":"","metadata":{"publisher":"IOP Publishing","grobid_abstract":"We have studied the compact phase conformations of semi-flexible polymer chains confined in two dimensional nonhomogeneous media, modelled by fractals that belong to the family of modified rectangular (MR) lattices. Members of the MR family are enumerated by an integer p (2 ≤ p \u003c ∞) and fractal dimension of each member of the family is equal to 2. The polymer flexibility is described by the stiffness parameter s, while the polymer conformations are modelled by weighted Hamiltonian walks (HWs). Applying an exact method of recurrence equations we have found that partition function Z N for closed HWs consisting of N steps scales as ω N µ √ N , where constants ω and µ depend on both p and s. We have calculated numerically the stiffness dependence of the polymer persistence length, as well as various thermodynamic quantities (such as free and internal energy, specific heat and entropy) for a large set of members of MR family. Analysis of these quantities has shown that semi-flexible compact polymers on MR lattices can exist only in the liquidlike (disordered) phase, whereas the crystal (ordered) phase has not appeared. Finally, behavior of the examined system at zero temperature has been discussed.","publication_date":{"day":null,"month":null,"year":2019,"errors":{}},"publication_name":"Journal of Physics A: Mathematical and Theoretical","grobid_abstract_attachment_id":88055182},"translated_abstract":null,"internal_url":"https://www.academia.edu/82302039/Semi_flexible_compact_polymers_in_two_dimensional_nonhomogeneous_confinement","translated_internal_url":"","created_at":"2022-06-28T10:19:28.799-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":88055182,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/88055182/thumbnails/1.jpg","file_name":"1805.pdf","download_url":"https://www.academia.edu/attachments/88055182/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Semi_flexible_compact_polymers_in_two_di.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/88055182/1805-libre.pdf?1656437875=\u0026response-content-disposition=attachment%3B+filename%3DSemi_flexible_compact_polymers_in_two_di.pdf\u0026Expires=1732752048\u0026Signature=DwjeWqQ97rJqEuhsHQ3hCT~bFVYAXd5fQlG~4wfGguKO5Gf1ZADvNDgb~lWDFP9FYVODD-xOCB7fIC7WZFzF~ZAXC40YhfxSnesw5VF8Di17OaFq54F~lYkKgLl~OvapWgYO8phZLtDeQPNL7RtkWX42n0Surcr77O-tVYlOJXU8~yJqJ2bxThHLTEUJh6SzHxtMFZvTildAYtf~lRK7f5sSBYrpZjBNxUPPunWQKbag~LQ5URpRJK8gPlzatmg25tql5V4NVX5NYhCTq0Fjqf7oosCA1PosViIwojQvSCkJMeQy7q6jK2Wl2i2T6hbnKl68dg39obRoGLim7ke74A__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Semi_flexible_compact_polymers_in_two_dimensional_nonhomogeneous_confinement","translated_slug":"","page_count":21,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[{"id":88055182,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/88055182/thumbnails/1.jpg","file_name":"1805.pdf","download_url":"https://www.academia.edu/attachments/88055182/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Semi_flexible_compact_polymers_in_two_di.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/88055182/1805-libre.pdf?1656437875=\u0026response-content-disposition=attachment%3B+filename%3DSemi_flexible_compact_polymers_in_two_di.pdf\u0026Expires=1732752048\u0026Signature=DwjeWqQ97rJqEuhsHQ3hCT~bFVYAXd5fQlG~4wfGguKO5Gf1ZADvNDgb~lWDFP9FYVODD-xOCB7fIC7WZFzF~ZAXC40YhfxSnesw5VF8Di17OaFq54F~lYkKgLl~OvapWgYO8phZLtDeQPNL7RtkWX42n0Surcr77O-tVYlOJXU8~yJqJ2bxThHLTEUJh6SzHxtMFZvTildAYtf~lRK7f5sSBYrpZjBNxUPPunWQKbag~LQ5URpRJK8gPlzatmg25tql5V4NVX5NYhCTq0Fjqf7oosCA1PosViIwojQvSCkJMeQy7q6jK2Wl2i2T6hbnKl68dg39obRoGLim7ke74A__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":300,"name":"Mathematics","url":"https://www.academia.edu/Documents/in/Mathematics"},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics"},{"id":511,"name":"Materials Science","url":"https://www.academia.edu/Documents/in/Materials_Science"},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences"},{"id":118582,"name":"Physical sciences","url":"https://www.academia.edu/Documents/in/Physical_sciences"}],"urls":[{"id":21783608,"url":"http://stacks.iop.org/1751-8121/52/i=12/a=125001?key=crossref.7ca21b637b75b66cf039bfe89e3381eb"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="82302033"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/82302033/Compact_Polymers_on_Fractal_Lattices"><img alt="Research paper thumbnail of Compact Polymers on Fractal Lattices" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/82302033/Compact_Polymers_on_Fractal_Lattices">Compact Polymers on Fractal Lattices</a></div><div class="wp-workCard_item"><span>AIP Conference Proceedings</span><span>, 2007</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We study compact polymers, modelled by Hamiltonian walks (HWs), i.e. self‐avoiding walks that vis...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We study compact polymers, modelled by Hamiltonian walks (HWs), i.e. self‐avoiding walks that visit every site of the lattice, on various fractal lattices: Sierpinski gasket (SG), Given‐Mandelbrot family of fractals, modified SG fractals, and n‐simplex fractals. Self‐similarity of these lattices enables establishing exact recursion relations for the numbers of HWs conveniently divided into several classes. Via analytical and numerical analysis of these relations, we find the asymptotic behaviour of the number of HWs and calculate connectivity constants, as well as critical exponents corresponding to the overall number of open and closed HWs. The nonuniversality of the HW critical exponents, obtained for some homogeneous lattices is confirmed by our results, whereas the scaling relations for the number of HWs, obtained here, are in general different from the relations expected for homogeneous lattices.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="82302033"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="82302033"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 82302033; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=82302033]").text(description); $(".js-view-count[data-work-id=82302033]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 82302033; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='82302033']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 82302033, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=82302033]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":82302033,"title":"Compact Polymers on Fractal Lattices","translated_title":"","metadata":{"abstract":"We study compact polymers, modelled by Hamiltonian walks (HWs), i.e. self‐avoiding walks that visit every site of the lattice, on various fractal lattices: Sierpinski gasket (SG), Given‐Mandelbrot family of fractals, modified SG fractals, and n‐simplex fractals. Self‐similarity of these lattices enables establishing exact recursion relations for the numbers of HWs conveniently divided into several classes. Via analytical and numerical analysis of these relations, we find the asymptotic behaviour of the number of HWs and calculate connectivity constants, as well as critical exponents corresponding to the overall number of open and closed HWs. The nonuniversality of the HW critical exponents, obtained for some homogeneous lattices is confirmed by our results, whereas the scaling relations for the number of HWs, obtained here, are in general different from the relations expected for homogeneous lattices.","publisher":"AIP","publication_date":{"day":null,"month":null,"year":2007,"errors":{}},"publication_name":"AIP Conference Proceedings"},"translated_abstract":"We study compact polymers, modelled by Hamiltonian walks (HWs), i.e. self‐avoiding walks that visit every site of the lattice, on various fractal lattices: Sierpinski gasket (SG), Given‐Mandelbrot family of fractals, modified SG fractals, and n‐simplex fractals. Self‐similarity of these lattices enables establishing exact recursion relations for the numbers of HWs conveniently divided into several classes. Via analytical and numerical analysis of these relations, we find the asymptotic behaviour of the number of HWs and calculate connectivity constants, as well as critical exponents corresponding to the overall number of open and closed HWs. The nonuniversality of the HW critical exponents, obtained for some homogeneous lattices is confirmed by our results, whereas the scaling relations for the number of HWs, obtained here, are in general different from the relations expected for homogeneous lattices.","internal_url":"https://www.academia.edu/82302033/Compact_Polymers_on_Fractal_Lattices","translated_internal_url":"","created_at":"2022-06-28T10:18:57.173-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Compact_Polymers_on_Fractal_Lattices","translated_slug":"","page_count":null,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[],"research_interests":[{"id":300,"name":"Mathematics","url":"https://www.academia.edu/Documents/in/Mathematics"},{"id":172625,"name":"Fractal","url":"https://www.academia.edu/Documents/in/Fractal"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="82302025"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/82302025/Semi_flexible_compact_polymers_on_fractal_lattices"><img alt="Research paper thumbnail of Semi-flexible compact polymers on fractal lattices" class="work-thumbnail" src="https://attachments.academia-assets.com/88055171/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/82302025/Semi_flexible_compact_polymers_on_fractal_lattices">Semi-flexible compact polymers on fractal lattices</a></div><div class="wp-workCard_item"><span>Physica A: Statistical Mechanics and its Applications</span><span>, 2011</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="71e62b02832be125bbfa744771a9acae" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":88055171,"asset_id":82302025,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/88055171/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="82302025"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="82302025"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 82302025; 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dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "71e62b02832be125bbfa744771a9acae" } } $('.js-work-strip[data-work-id=82302025]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":82302025,"title":"Semi-flexible compact polymers on fractal lattices","translated_title":"","metadata":{"publisher":"Elsevier BV","grobid_abstract":"Hamiltonian cycles with bending rigidity are studied on the first three members of the fractal family obtained by generalization of the modified rectangular (MR) fractal lattice. This model is proposed to describe conformational and thermodynamic properties of a single semi-flexible ring polymer confined in a poor and disordered (e.g. crowded) solvent. Due to the competition between temperature and polymer stiffness, there is a possibility for the phase transition between molten globule and crystal phase of a polymer to occur. The partition function of the model in the thermodynamic limit is obtained and analyzed as a function of polymer stiffness parameter s (Boltzmann weight), which for semi-flexible polymers can take on values over the interval (0,1). Other quantities, such as persistence length, specific heat and entropy, are obtained numerically and presented graphically as functions of stiffness parameter s.","publication_date":{"day":null,"month":null,"year":2011,"errors":{}},"publication_name":"Physica A: Statistical Mechanics and its Applications","grobid_abstract_attachment_id":88055171},"translated_abstract":null,"internal_url":"https://www.academia.edu/82302025/Semi_flexible_compact_polymers_on_fractal_lattices","translated_internal_url":"","created_at":"2022-06-28T10:18:13.247-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":88055171,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/88055171/thumbnails/1.jpg","file_name":"4059.pdf","download_url":"https://www.academia.edu/attachments/88055171/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Semi_flexible_compact_polymers_on_fracta.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/88055171/4059-libre.pdf?1656437872=\u0026response-content-disposition=attachment%3B+filename%3DSemi_flexible_compact_polymers_on_fracta.pdf\u0026Expires=1732752048\u0026Signature=bZK2-zDNmz9i1Tqbwn4y1Q~ylWTKTyGeIN9qKMjMyl52PvFps4zEH~9U7rQR~ZNs1Cy9sX-TrXHMIhl0e8iCNUDrUXKXuQ5i6YS6XfhlEqIRFoBejBXQM~P17pc9QBliR1-cObEUZVUqpbsHsvdwWQMsZY4iyb~MFuQDfJvsdnIsk3ZLauzeSxis-pkQlqQKE5JCY0FgPHp9He4mO-ovUQR2AvsGvz9BGyvU4uXTqvzGaj57b55bSBD0SjPPIzf4vG5BajfXmd76k65nQEyQn3t6IwONm6fC0IIQWt5ZV4ln6St2L89O-fYUxHUPWw0rjgfrQws4yUBRKHq-O8GgvQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Semi_flexible_compact_polymers_on_fractal_lattices","translated_slug":"","page_count":7,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[{"id":88055171,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/88055171/thumbnails/1.jpg","file_name":"4059.pdf","download_url":"https://www.academia.edu/attachments/88055171/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Semi_flexible_compact_polymers_on_fracta.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/88055171/4059-libre.pdf?1656437872=\u0026response-content-disposition=attachment%3B+filename%3DSemi_flexible_compact_polymers_on_fracta.pdf\u0026Expires=1732752048\u0026Signature=bZK2-zDNmz9i1Tqbwn4y1Q~ylWTKTyGeIN9qKMjMyl52PvFps4zEH~9U7rQR~ZNs1Cy9sX-TrXHMIhl0e8iCNUDrUXKXuQ5i6YS6XfhlEqIRFoBejBXQM~P17pc9QBliR1-cObEUZVUqpbsHsvdwWQMsZY4iyb~MFuQDfJvsdnIsk3ZLauzeSxis-pkQlqQKE5JCY0FgPHp9He4mO-ovUQR2AvsGvz9BGyvU4uXTqvzGaj57b55bSBD0SjPPIzf4vG5BajfXmd76k65nQEyQn3t6IwONm6fC0IIQWt5ZV4ln6St2L89O-fYUxHUPWw0rjgfrQws4yUBRKHq-O8GgvQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":300,"name":"Mathematics","url":"https://www.academia.edu/Documents/in/Mathematics"},{"id":317,"name":"Fractal Geometry","url":"https://www.academia.edu/Documents/in/Fractal_Geometry"},{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics"},{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics"},{"id":522,"name":"Thermodynamics","url":"https://www.academia.edu/Documents/in/Thermodynamics"},{"id":523,"name":"Chemistry","url":"https://www.academia.edu/Documents/in/Chemistry"},{"id":172625,"name":"Fractal","url":"https://www.academia.edu/Documents/in/Fractal"},{"id":173963,"name":"Phase transition","url":"https://www.academia.edu/Documents/in/Phase_transition"},{"id":230901,"name":"Molten Globule","url":"https://www.academia.edu/Documents/in/Molten_Globule"},{"id":247487,"name":"Temperature Dependence","url":"https://www.academia.edu/Documents/in/Temperature_Dependence"},{"id":556555,"name":"Partition Function","url":"https://www.academia.edu/Documents/in/Partition_Function"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="82302015"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/82302015/Critical_exponents_of_surface_interacting_self_avoiding_walks_on_a_family_of_truncated_n_simplex_lattices"><img alt="Research paper thumbnail of Critical exponents of surface-interacting self-avoiding walks on a family of truncated n-simplex lattices" class="work-thumbnail" src="https://attachments.academia-assets.com/88055164/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/82302015/Critical_exponents_of_surface_interacting_self_avoiding_walks_on_a_family_of_truncated_n_simplex_lattices">Critical exponents of surface-interacting self-avoiding walks on a family of truncated n-simplex lattices</a></div><div class="wp-workCard_item"><span>Physica A: Statistical Mechanics and its Applications</span><span>, 1996</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="b36f2f50148c0738a2d5c87ae4d85945" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":88055164,"asset_id":82302015,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/88055164/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="82302015"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="82302015"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 82302015; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=82302015]").text(description); $(".js-view-count[data-work-id=82302015]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 82302015; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='82302015']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 82302015, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "b36f2f50148c0738a2d5c87ae4d85945" } } $('.js-work-strip[data-work-id=82302015]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":82302015,"title":"Critical exponents of surface-interacting self-avoiding walks on a family of truncated n-simplex lattices","translated_title":"","metadata":{"publisher":"Elsevier BV","grobid_abstract":"We study the critical behavior of surface-interacting self-avoiding random walks on a class of truncated simplex lattices, which can be labeled by an integer n ≥ 3. Using the exact renormalization group method we have been able to obtain the exact values of various critical exponents for all values of n up to n = 6. We also derived simple formulas which describe the asymptotic behavior of these exponents in the limit of large n (n → ∞). In spite of the fact that the coordination number of the lattice tends to infinity in this limit, we found that the most of the studied critical exponents approach certain finite values, which differ from corresponding values for simple random walks (without self-avoiding walk constraint).","publication_date":{"day":null,"month":null,"year":1996,"errors":{}},"publication_name":"Physica A: Statistical Mechanics and its Applications","grobid_abstract_attachment_id":88055164},"translated_abstract":null,"internal_url":"https://www.academia.edu/82302015/Critical_exponents_of_surface_interacting_self_avoiding_walks_on_a_family_of_truncated_n_simplex_lattices","translated_internal_url":"","created_at":"2022-06-28T10:17:45.013-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":88055164,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/88055164/thumbnails/1.jpg","file_name":"9612233.pdf","download_url":"https://www.academia.edu/attachments/88055164/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Critical_exponents_of_surface_interactin.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/88055164/9612233-libre.pdf?1656437875=\u0026response-content-disposition=attachment%3B+filename%3DCritical_exponents_of_surface_interactin.pdf\u0026Expires=1732752048\u0026Signature=GwifIbODGPqinA8a5T4adn1r~rqFK9MdNNg9mpwX7CyIj3aO10uDodMjh5NlK02EfKInEb0wLsWn2u6tl~K6-5wpQbrR6ZYSYB9CbaL5Z~dEwWvvtun42kGbrhOwCy2ztI62TR89s8jtgy8HqtNrVlxJ53uHuDYQ7SIG9PawYpoHoxUJzWpOt42~en1HnRZmsjJOTG1Oly2quTXWZgW3JHxe3O6WavXkxJkhvDO~MZUHDI6YFOXUlvZKSoYfok7OuYHQsf8Ml86R2udPBJFVOus8xpHzbqIjtQBzy8eG6-3VkL5STFN8Mg4L35KKErUYb3GStS06ywcczUmcPy3RiA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Critical_exponents_of_surface_interacting_self_avoiding_walks_on_a_family_of_truncated_n_simplex_lattices","translated_slug":"","page_count":33,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[{"id":88055164,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/88055164/thumbnails/1.jpg","file_name":"9612233.pdf","download_url":"https://www.academia.edu/attachments/88055164/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Critical_exponents_of_surface_interactin.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/88055164/9612233-libre.pdf?1656437875=\u0026response-content-disposition=attachment%3B+filename%3DCritical_exponents_of_surface_interactin.pdf\u0026Expires=1732752048\u0026Signature=GwifIbODGPqinA8a5T4adn1r~rqFK9MdNNg9mpwX7CyIj3aO10uDodMjh5NlK02EfKInEb0wLsWn2u6tl~K6-5wpQbrR6ZYSYB9CbaL5Z~dEwWvvtun42kGbrhOwCy2ztI62TR89s8jtgy8HqtNrVlxJ53uHuDYQ7SIG9PawYpoHoxUJzWpOt42~en1HnRZmsjJOTG1Oly2quTXWZgW3JHxe3O6WavXkxJkhvDO~MZUHDI6YFOXUlvZKSoYfok7OuYHQsf8Ml86R2udPBJFVOus8xpHzbqIjtQBzy8eG6-3VkL5STFN8Mg4L35KKErUYb3GStS06ywcczUmcPy3RiA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":300,"name":"Mathematics","url":"https://www.academia.edu/Documents/in/Mathematics"},{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics"},{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics"},{"id":112234,"name":"Exact Renormalization Group","url":"https://www.academia.edu/Documents/in/Exact_Renormalization_Group"},{"id":494966,"name":"Renormalization Group","url":"https://www.academia.edu/Documents/in/Renormalization_Group"},{"id":721120,"name":"Coordination number","url":"https://www.academia.edu/Documents/in/Coordination_number"},{"id":1278668,"name":"Self Avoiding Walk","url":"https://www.academia.edu/Documents/in/Self_Avoiding_Walk"},{"id":3599123,"name":"critical behavior","url":"https://www.academia.edu/Documents/in/critical_behavior"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="82301995"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/82301995/Pulling_self_interacting_linear_polymers_on_a_family_of_fractal_lattices_embedded_in_three_dimensional_space"><img alt="Research paper thumbnail of Pulling self-interacting linear polymers on a family of fractal lattices embedded in three-dimensional space" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/82301995/Pulling_self_interacting_linear_polymers_on_a_family_of_fractal_lattices_embedded_in_three_dimensional_space">Pulling self-interacting linear polymers on a family of fractal lattices embedded in three-dimensional space</a></div><div class="wp-workCard_item"><span>Journal of Statistical Mechanics: Theory and Experiment</span><span>, 2013</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">ABSTRACT We have studied the problem of force pulling self-interacting linear polymers situated i...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">ABSTRACT We have studied the problem of force pulling self-interacting linear polymers situated in fractal containers that belong to the Sierpinski gasket (SG) family of fractals embedded in three-dimensional (3D) space. Each member of this family is labeled with an integer b (2 ≤ b ≤ ∞). The polymer chain is modeled by a self-avoiding walk (SAW) with one end anchored to one of the four boundary walls of the lattice, while the other (floating in the bulk of the fractal) is the position at which the force is acting. By applying an exact renormalization group (RG) method we have established the phase diagrams, including the critical force–temperature dependence, for fractals with b = 2,3 and 4. Also, for the same fractals, in all polymer phases, we examined the generating function G1 for the numbers of all possible SAWs with one end anchored to the boundary wall. We found that besides the usual power-law singularity of G1, governed by the critical exponent γ1, whose specific values are worked out for all cases studied, in some regimes the function G1 displays an essential singularity in its behavior.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="82301995"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="82301995"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 82301995; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=82301995]").text(description); $(".js-view-count[data-work-id=82301995]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 82301995; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='82301995']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 82301995, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=82301995]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":82301995,"title":"Pulling self-interacting linear polymers on a family of fractal lattices embedded in three-dimensional space","translated_title":"","metadata":{"abstract":"ABSTRACT We have studied the problem of force pulling self-interacting linear polymers situated in fractal containers that belong to the Sierpinski gasket (SG) family of fractals embedded in three-dimensional (3D) space. Each member of this family is labeled with an integer b (2 ≤ b ≤ ∞). The polymer chain is modeled by a self-avoiding walk (SAW) with one end anchored to one of the four boundary walls of the lattice, while the other (floating in the bulk of the fractal) is the position at which the force is acting. By applying an exact renormalization group (RG) method we have established the phase diagrams, including the critical force–temperature dependence, for fractals with b = 2,3 and 4. Also, for the same fractals, in all polymer phases, we examined the generating function G1 for the numbers of all possible SAWs with one end anchored to the boundary wall. We found that besides the usual power-law singularity of G1, governed by the critical exponent γ1, whose specific values are worked out for all cases studied, in some regimes the function G1 displays an essential singularity in its behavior.","publisher":"IOP Publishing","publication_date":{"day":null,"month":null,"year":2013,"errors":{}},"publication_name":"Journal of Statistical Mechanics: Theory and Experiment"},"translated_abstract":"ABSTRACT We have studied the problem of force pulling self-interacting linear polymers situated in fractal containers that belong to the Sierpinski gasket (SG) family of fractals embedded in three-dimensional (3D) space. Each member of this family is labeled with an integer b (2 ≤ b ≤ ∞). The polymer chain is modeled by a self-avoiding walk (SAW) with one end anchored to one of the four boundary walls of the lattice, while the other (floating in the bulk of the fractal) is the position at which the force is acting. By applying an exact renormalization group (RG) method we have established the phase diagrams, including the critical force–temperature dependence, for fractals with b = 2,3 and 4. Also, for the same fractals, in all polymer phases, we examined the generating function G1 for the numbers of all possible SAWs with one end anchored to the boundary wall. We found that besides the usual power-law singularity of G1, governed by the critical exponent γ1, whose specific values are worked out for all cases studied, in some regimes the function G1 displays an essential singularity in its behavior.","internal_url":"https://www.academia.edu/82301995/Pulling_self_interacting_linear_polymers_on_a_family_of_fractal_lattices_embedded_in_three_dimensional_space","translated_internal_url":"","created_at":"2022-06-28T10:17:29.340-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Pulling_self_interacting_linear_polymers_on_a_family_of_fractal_lattices_embedded_in_three_dimensional_space","translated_slug":"","page_count":null,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[],"research_interests":[{"id":300,"name":"Mathematics","url":"https://www.academia.edu/Documents/in/Mathematics"},{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics"},{"id":80799,"name":"Classical Physics","url":"https://www.academia.edu/Documents/in/Classical_Physics"},{"id":172625,"name":"Fractal","url":"https://www.academia.edu/Documents/in/Fractal"}],"urls":[]}, dispatcherData: dispatcherData }); 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="68591699"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/68591699/Interacting_linear_polymers_on_three_dimensional_Sierpinski_fractals"><img alt="Research paper thumbnail of Interacting linear polymers on three-dimensional Sierpinski fractals" class="work-thumbnail" src="https://attachments.academia-assets.com/79018156/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/68591699/Interacting_linear_polymers_on_three_dimensional_Sierpinski_fractals">Interacting linear polymers on three-dimensional Sierpinski fractals</a></div><div class="wp-workCard_item"><span>arXiv: Statistical Mechanics</span><span>, 2002</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Using self-avoiding walk model on three-dimensional Sierpinski fractals (3d SF) we have studied c...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Using self-avoiding walk model on three-dimensional Sierpinski fractals (3d SF) we have studied critical properties of self-interacting linear polymers in porous environment, via exact real-space renormalization group (RG) method. We have found that RG equations for 3d SF with base b=4 are much more complicated than for the previously studied b=2 and b=3 3d SFs. Numerical analysis of these equations shows that for all considered cases there are three fixed points, corresponding to the high-temperature extended polymer state, collapse transition, and the low-temperature state, which is compact or semi-compact, depending on the value of the fractal base b. We discuss the reasons for such different low--temperature behavior, as well as the possibility of establishing the RG equations beyond b=4.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="a2cbc8bb6efceba11a636e7657ba8dfe" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":79018156,"asset_id":68591699,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/79018156/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="68591699"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="68591699"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 68591699; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=68591699]").text(description); $(".js-view-count[data-work-id=68591699]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 68591699; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='68591699']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 68591699, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "a2cbc8bb6efceba11a636e7657ba8dfe" } } $('.js-work-strip[data-work-id=68591699]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":68591699,"title":"Interacting linear polymers on three-dimensional Sierpinski fractals","translated_title":"","metadata":{"abstract":"Using self-avoiding walk model on three-dimensional Sierpinski fractals (3d SF) we have studied critical properties of self-interacting linear polymers in porous environment, via exact real-space renormalization group (RG) method. We have found that RG equations for 3d SF with base b=4 are much more complicated than for the previously studied b=2 and b=3 3d SFs. Numerical analysis of these equations shows that for all considered cases there are three fixed points, corresponding to the high-temperature extended polymer state, collapse transition, and the low-temperature state, which is compact or semi-compact, depending on the value of the fractal base b. We discuss the reasons for such different low--temperature behavior, as well as the possibility of establishing the RG equations beyond b=4.","publication_date":{"day":null,"month":null,"year":2002,"errors":{}},"publication_name":"arXiv: Statistical Mechanics"},"translated_abstract":"Using self-avoiding walk model on three-dimensional Sierpinski fractals (3d SF) we have studied critical properties of self-interacting linear polymers in porous environment, via exact real-space renormalization group (RG) method. We have found that RG equations for 3d SF with base b=4 are much more complicated than for the previously studied b=2 and b=3 3d SFs. Numerical analysis of these equations shows that for all considered cases there are three fixed points, corresponding to the high-temperature extended polymer state, collapse transition, and the low-temperature state, which is compact or semi-compact, depending on the value of the fractal base b. We discuss the reasons for such different low--temperature behavior, as well as the possibility of establishing the RG equations beyond b=4.","internal_url":"https://www.academia.edu/68591699/Interacting_linear_polymers_on_three_dimensional_Sierpinski_fractals","translated_internal_url":"","created_at":"2022-01-18T02:14:40.359-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":79018156,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/79018156/thumbnails/1.jpg","file_name":"0205509v1.pdf","download_url":"https://www.academia.edu/attachments/79018156/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Interacting_linear_polymers_on_three_dim.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/79018156/0205509v1-libre.pdf?1642504367=\u0026response-content-disposition=attachment%3B+filename%3DInteracting_linear_polymers_on_three_dim.pdf\u0026Expires=1732752048\u0026Signature=QVLJaFDUkaoI~SgplBO1HIKgrKPDVph7vDB3whyMXYW~UyCK~T7skuKJTMY3q44UQCT-u8vXk3eQAqsUQRhoo82jMDdkpxInokRIKp3cAvm371rrJAWijg5qwjrEqOV-QQ6Ymqd6KA-bXzvP~ySoUHXiQ~x1P6ODaBk3omH7esEnuEhwsTgbmfttKtTNdyMKa-FQPXbg2o7XJxUsEUuYfmfw2-3iok~OTWuVF5wtTBw8ZI5hiaD3lBwKsOTyvCYUHZ6lmm5ySlS9zUg4VNdgl53lRYW2m--NlgoIwqtAmq9QU8xiKdOBMnnX4tfRGITSKS4VFGqcXN2YxbsMq0bdLw__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Interacting_linear_polymers_on_three_dimensional_Sierpinski_fractals","translated_slug":"","page_count":4,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[{"id":79018156,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/79018156/thumbnails/1.jpg","file_name":"0205509v1.pdf","download_url":"https://www.academia.edu/attachments/79018156/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Interacting_linear_polymers_on_three_dim.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/79018156/0205509v1-libre.pdf?1642504367=\u0026response-content-disposition=attachment%3B+filename%3DInteracting_linear_polymers_on_three_dim.pdf\u0026Expires=1732752048\u0026Signature=QVLJaFDUkaoI~SgplBO1HIKgrKPDVph7vDB3whyMXYW~UyCK~T7skuKJTMY3q44UQCT-u8vXk3eQAqsUQRhoo82jMDdkpxInokRIKp3cAvm371rrJAWijg5qwjrEqOV-QQ6Ymqd6KA-bXzvP~ySoUHXiQ~x1P6ODaBk3omH7esEnuEhwsTgbmfttKtTNdyMKa-FQPXbg2o7XJxUsEUuYfmfw2-3iok~OTWuVF5wtTBw8ZI5hiaD3lBwKsOTyvCYUHZ6lmm5ySlS9zUg4VNdgl53lRYW2m--NlgoIwqtAmq9QU8xiKdOBMnnX4tfRGITSKS4VFGqcXN2YxbsMq0bdLw__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":300,"name":"Mathematics","url":"https://www.academia.edu/Documents/in/Mathematics"},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics"},{"id":12022,"name":"Numerical Analysis","url":"https://www.academia.edu/Documents/in/Numerical_Analysis"},{"id":494966,"name":"Renormalization Group","url":"https://www.academia.edu/Documents/in/Renormalization_Group"}],"urls":[{"id":16581791,"url":"https://arxiv.org/pdf/cond-mat/0205509v1.pdf"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="52032363"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/52032363/Exact_study_of_surface_critical_exponents_of_polymer_chains_grafted_to_adsorbing_boundary_of_fractal_lattices_embedded_in_three_dimensional_space"><img alt="Research paper thumbnail of Exact study of surface critical exponents of polymer chains grafted to adsorbing boundary of fractal lattices embedded in three-dimensional space" class="work-thumbnail" src="https://attachments.academia-assets.com/69484120/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/52032363/Exact_study_of_surface_critical_exponents_of_polymer_chains_grafted_to_adsorbing_boundary_of_fractal_lattices_embedded_in_three_dimensional_space">Exact study of surface critical exponents of polymer chains grafted to adsorbing boundary of fractal lattices embedded in three-dimensional space</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We study the adsorption problem of linear polymers, when the container of the polymer--solvent sy...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We study the adsorption problem of linear polymers, when the container of the polymer--solvent system is taken to be a member of the three dimensional Sierpinski gasket (SG) family of fractals. Members of the SG family are enumerated by an integer $b$ ($2\le b\le\infty$), and it is assumed that one side of each SG fractal is impenetrable adsorbing boundary. We calculate the critical exponents $\gamma_1, \gamma_{11}$, and $\gamma_s$ which, within the self--avoiding walk model (SAW) of polymer chain, are associated with the numbers of all possible SAWs with one, both, and no ends grafted on the adsorbing impenetrable boundary, respectively. By applying the exact renormalization group (RG) method, for $2\le b\le 4$, we have obtained specific values for these exponents, for various type of polymer conformations. We discuss their mutual relations and their relations with other critical exponents pertinent to SAWs on the SG fractals.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="e04e410f0c9d6c971afaae23f22b003f" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":69484120,"asset_id":52032363,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/69484120/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="52032363"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="52032363"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 52032363; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=52032363]").text(description); $(".js-view-count[data-work-id=52032363]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 52032363; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='52032363']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 52032363, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "e04e410f0c9d6c971afaae23f22b003f" } } $('.js-work-strip[data-work-id=52032363]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":52032363,"title":"Exact study of surface critical exponents of polymer chains grafted to adsorbing boundary of fractal lattices embedded in three-dimensional space","translated_title":"","metadata":{"abstract":"We study the adsorption problem of linear polymers, when the container of the polymer--solvent system is taken to be a member of the three dimensional Sierpinski gasket (SG) family of fractals. Members of the SG family are enumerated by an integer $b$ ($2\\le b\\le\\infty$), and it is assumed that one side of each SG fractal is impenetrable adsorbing boundary. We calculate the critical exponents $\\gamma_1, \\gamma_{11}$, and $\\gamma_s$ which, within the self--avoiding walk model (SAW) of polymer chain, are associated with the numbers of all possible SAWs with one, both, and no ends grafted on the adsorbing impenetrable boundary, respectively. By applying the exact renormalization group (RG) method, for $2\\le b\\le 4$, we have obtained specific values for these exponents, for various type of polymer conformations. We discuss their mutual relations and their relations with other critical exponents pertinent to SAWs on the SG fractals."},"translated_abstract":"We study the adsorption problem of linear polymers, when the container of the polymer--solvent system is taken to be a member of the three dimensional Sierpinski gasket (SG) family of fractals. Members of the SG family are enumerated by an integer $b$ ($2\\le b\\le\\infty$), and it is assumed that one side of each SG fractal is impenetrable adsorbing boundary. We calculate the critical exponents $\\gamma_1, \\gamma_{11}$, and $\\gamma_s$ which, within the self--avoiding walk model (SAW) of polymer chain, are associated with the numbers of all possible SAWs with one, both, and no ends grafted on the adsorbing impenetrable boundary, respectively. By applying the exact renormalization group (RG) method, for $2\\le b\\le 4$, we have obtained specific values for these exponents, for various type of polymer conformations. We discuss their mutual relations and their relations with other critical exponents pertinent to SAWs on the SG fractals.","internal_url":"https://www.academia.edu/52032363/Exact_study_of_surface_critical_exponents_of_polymer_chains_grafted_to_adsorbing_boundary_of_fractal_lattices_embedded_in_three_dimensional_space","translated_internal_url":"","created_at":"2021-09-12T13:56:15.203-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":69484120,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/69484120/thumbnails/1.jpg","file_name":"Exact_study_of_surface_critical_exponent20210912-18346-17rm7f.pdf","download_url":"https://www.academia.edu/attachments/69484120/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Exact_study_of_surface_critical_exponent.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/69484120/Exact_study_of_surface_critical_exponent20210912-18346-17rm7f.pdf?1631480240=\u0026response-content-disposition=attachment%3B+filename%3DExact_study_of_surface_critical_exponent.pdf\u0026Expires=1732752048\u0026Signature=cmc4bffLao0L-UsB7VdoqadabmWXAcv1y72wv7-7DgGQ~n7IMNup3pI8MvrLpnumKfG2BXpFBRg9H7c6ZaQpmWF2fx0g098pfzxjLNmqYoFmcTXJ7YTvKKlHCpC3XovD2Nx-oeG47IV0m6eP08JNe~l5l~ZsziHOs83wOOinMbg3wKQ5voJbeWT2IMG8HvIQ3z~myBiJZz6qEYpzj2ND~BPguuaCUBo1SpuDFmVCoNeQ2-NaJwiSS~6atAhT2ajadoF6KeTo~zA~8MsFlMMqu4dQ1cGGB4hSvGJTtup~llJCPv7NFinzErO2UhzjsRLoARclbDTOoGdf-OJY0rDtEQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Exact_study_of_surface_critical_exponents_of_polymer_chains_grafted_to_adsorbing_boundary_of_fractal_lattices_embedded_in_three_dimensional_space","translated_slug":"","page_count":15,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[{"id":69484120,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/69484120/thumbnails/1.jpg","file_name":"Exact_study_of_surface_critical_exponent20210912-18346-17rm7f.pdf","download_url":"https://www.academia.edu/attachments/69484120/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Exact_study_of_surface_critical_exponent.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/69484120/Exact_study_of_surface_critical_exponent20210912-18346-17rm7f.pdf?1631480240=\u0026response-content-disposition=attachment%3B+filename%3DExact_study_of_surface_critical_exponent.pdf\u0026Expires=1732752048\u0026Signature=cmc4bffLao0L-UsB7VdoqadabmWXAcv1y72wv7-7DgGQ~n7IMNup3pI8MvrLpnumKfG2BXpFBRg9H7c6ZaQpmWF2fx0g098pfzxjLNmqYoFmcTXJ7YTvKKlHCpC3XovD2Nx-oeG47IV0m6eP08JNe~l5l~ZsziHOs83wOOinMbg3wKQ5voJbeWT2IMG8HvIQ3z~myBiJZz6qEYpzj2ND~BPguuaCUBo1SpuDFmVCoNeQ2-NaJwiSS~6atAhT2ajadoF6KeTo~zA~8MsFlMMqu4dQ1cGGB4hSvGJTtup~llJCPv7NFinzErO2UhzjsRLoARclbDTOoGdf-OJY0rDtEQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="8051739"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/8051739/Interacting_linear_polymers_on_three_dimensional_Sierpinski_fractals"><img alt="Research paper thumbnail of Interacting linear polymers on three-dimensional Sierpinski fractals" class="work-thumbnail" src="https://attachments.academia-assets.com/34509343/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/8051739/Interacting_linear_polymers_on_three_dimensional_Sierpinski_fractals">Interacting linear polymers on three-dimensional Sierpinski fractals</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Using self-avoiding walk model on three-dimensional Sierpinski fractals (3d SF) we have studied c...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Using self-avoiding walk model on three-dimensional Sierpinski fractals (3d SF) we have studied critical properties of self-interacting linear polymers in porous environment, via exact real-space renormalization group (RG) method. We have found that RG equations for 3d SF with base b=4 are much more complicated than for the previously studied b=2 and b=3 3d SFs. Numerical analysis of these equations shows that for all considered cases there are three fixed points, corresponding to the high-temperature extended polymer state, collapse transition, and the low-temperature state, which is compact or semi-compact, depending on the value of the fractal base b. We discuss the reasons for such different low--temperature behavior, as well as the possibility of establishing the RG equations beyond b=4.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="57a751f82bf7357d7b4c4910ecacb618" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":34509343,"asset_id":8051739,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/34509343/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="8051739"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="8051739"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 8051739; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=8051739]").text(description); $(".js-view-count[data-work-id=8051739]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 8051739; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='8051739']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 8051739, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "57a751f82bf7357d7b4c4910ecacb618" } } $('.js-work-strip[data-work-id=8051739]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":8051739,"title":"Interacting linear polymers on three-dimensional Sierpinski fractals","translated_title":"","metadata":{"abstract":"Using self-avoiding walk model on three-dimensional Sierpinski fractals (3d SF) we have studied critical properties of self-interacting linear polymers in porous environment, via exact real-space renormalization group (RG) method. We have found that RG equations for 3d SF with base b=4 are much more complicated than for the previously studied b=2 and b=3 3d SFs. Numerical analysis of these equations shows that for all considered cases there are three fixed points, corresponding to the high-temperature extended polymer state, collapse transition, and the low-temperature state, which is compact or semi-compact, depending on the value of the fractal base b. We discuss the reasons for such different low--temperature behavior, as well as the possibility of establishing the RG equations beyond b=4.","publication_date":{"day":null,"month":null,"year":2002,"errors":{}}},"translated_abstract":"Using self-avoiding walk model on three-dimensional Sierpinski fractals (3d SF) we have studied critical properties of self-interacting linear polymers in porous environment, via exact real-space renormalization group (RG) method. We have found that RG equations for 3d SF with base b=4 are much more complicated than for the previously studied b=2 and b=3 3d SFs. Numerical analysis of these equations shows that for all considered cases there are three fixed points, corresponding to the high-temperature extended polymer state, collapse transition, and the low-temperature state, which is compact or semi-compact, depending on the value of the fractal base b. We discuss the reasons for such different low--temperature behavior, as well as the possibility of establishing the RG equations beyond b=4.","internal_url":"https://www.academia.edu/8051739/Interacting_linear_polymers_on_three_dimensional_Sierpinski_fractals","translated_internal_url":"","created_at":"2014-08-22T06:19:56.820-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":34509343,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/34509343/thumbnails/1.jpg","file_name":"0205509.pdf","download_url":"https://www.academia.edu/attachments/34509343/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Interacting_linear_polymers_on_three_dim.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/34509343/0205509-libre.pdf?1408713611=\u0026response-content-disposition=attachment%3B+filename%3DInteracting_linear_polymers_on_three_dim.pdf\u0026Expires=1732752048\u0026Signature=UOCnDuzipYTEGvmaYE1K-LOPb6kF~XMfvkHM2IR7I7hayVpptUDo4p7WrJdD~Y~O~zzwx519imQ4MRjbndwTM4frtW7RJsbGfgKrnRorMJgngCxK7ihQkq6hNCExYR1mG0KUA75Wa~S1ZE3K8QGjLrmyXO16JPpfOr3LtsYXKUh6nxEiFSui29-zZN8BhzMOD1kxkkVncknCWp1GzZDmYD2ToXWziiOur1drrcigBLWT75BMsR5xisx~HJojDqnhxXbiXVm~UTPNO8irHBRicjHIXwsKiNzJNjX~iZiH2PPfFabN0Z6zJBOUo~qxhcr1ZMNjjDaGfvqdtg2cZ56CKA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Interacting_linear_polymers_on_three_dimensional_Sierpinski_fractals","translated_slug":"","page_count":4,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[{"id":34509343,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/34509343/thumbnails/1.jpg","file_name":"0205509.pdf","download_url":"https://www.academia.edu/attachments/34509343/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Interacting_linear_polymers_on_three_dim.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/34509343/0205509-libre.pdf?1408713611=\u0026response-content-disposition=attachment%3B+filename%3DInteracting_linear_polymers_on_three_dim.pdf\u0026Expires=1732752048\u0026Signature=UOCnDuzipYTEGvmaYE1K-LOPb6kF~XMfvkHM2IR7I7hayVpptUDo4p7WrJdD~Y~O~zzwx519imQ4MRjbndwTM4frtW7RJsbGfgKrnRorMJgngCxK7ihQkq6hNCExYR1mG0KUA75Wa~S1ZE3K8QGjLrmyXO16JPpfOr3LtsYXKUh6nxEiFSui29-zZN8BhzMOD1kxkkVncknCWp1GzZDmYD2ToXWziiOur1drrcigBLWT75BMsR5xisx~HJojDqnhxXbiXVm~UTPNO8irHBRicjHIXwsKiNzJNjX~iZiH2PPfFabN0Z6zJBOUo~qxhcr1ZMNjjDaGfvqdtg2cZ56CKA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":12022,"name":"Numerical Analysis","url":"https://www.academia.edu/Documents/in/Numerical_Analysis"},{"id":494966,"name":"Renormalization Group","url":"https://www.academia.edu/Documents/in/Renormalization_Group"}],"urls":[{"id":3371017,"url":"http://arxiv.org/abs/cond-mat/0205509"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="8051738"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/8051738/Crossover_exponent_for_piecewise_directed_walk_adsorption_on_Sierpinski_fractals"><img alt="Research paper thumbnail of Crossover exponent for piecewise directed walk adsorption on Sierpinski fractals" class="work-thumbnail" src="https://attachments.academia-assets.com/34509341/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/8051738/Crossover_exponent_for_piecewise_directed_walk_adsorption_on_Sierpinski_fractals">Crossover exponent for piecewise directed walk adsorption on Sierpinski fractals</a></div><div class="wp-workCard_item"><span>Journal of Physics A-mathematical and General</span><span>, 1999</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We study the problem of critical adsorption of piecewise directed random walks on a boundary of f...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We study the problem of critical adsorption of piecewise directed random walks on a boundary of fractal lattices that belong to the Sierpinski gasket family. By applying the exact real space renormalization group method, we calculate the crossover exponent $\phi$, associated with the number of adsorbed steps, for the complete fractal family. We demonstrate that our results are very close to the results obtained for ordinary self-avoiding walk, and discuss the asymptotic behaviour of $\phi$ at the fractal to Euclidean lattice crossover.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="d7efdb2948bc67f60e651e40d539649e" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":34509341,"asset_id":8051738,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/34509341/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="8051738"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="8051738"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 8051738; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=8051738]").text(description); $(".js-view-count[data-work-id=8051738]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 8051738; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='8051738']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 8051738, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "d7efdb2948bc67f60e651e40d539649e" } } $('.js-work-strip[data-work-id=8051738]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":8051738,"title":"Crossover exponent for piecewise directed walk adsorption on Sierpinski fractals","translated_title":"","metadata":{"abstract":"We study the problem of critical adsorption of piecewise directed random walks on a boundary of fractal lattices that belong to the Sierpinski gasket family. By applying the exact real space renormalization group method, we calculate the crossover exponent $\\phi$, associated with the number of adsorbed steps, for the complete fractal family. We demonstrate that our results are very close to the results obtained for ordinary self-avoiding walk, and discuss the asymptotic behaviour of $\\phi$ at the fractal to Euclidean lattice crossover.","publication_date":{"day":null,"month":null,"year":1999,"errors":{}},"publication_name":"Journal of Physics A-mathematical and General"},"translated_abstract":"We study the problem of critical adsorption of piecewise directed random walks on a boundary of fractal lattices that belong to the Sierpinski gasket family. By applying the exact real space renormalization group method, we calculate the crossover exponent $\\phi$, associated with the number of adsorbed steps, for the complete fractal family. We demonstrate that our results are very close to the results obtained for ordinary self-avoiding walk, and discuss the asymptotic behaviour of $\\phi$ at the fractal to Euclidean lattice crossover.","internal_url":"https://www.academia.edu/8051738/Crossover_exponent_for_piecewise_directed_walk_adsorption_on_Sierpinski_fractals","translated_internal_url":"","created_at":"2014-08-22T06:19:50.513-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":34509341,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/34509341/thumbnails/1.jpg","file_name":"9812112.pdf","download_url":"https://www.academia.edu/attachments/34509341/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Crossover_exponent_for_piecewise_directe.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/34509341/9812112-libre.pdf?1408713606=\u0026response-content-disposition=attachment%3B+filename%3DCrossover_exponent_for_piecewise_directe.pdf\u0026Expires=1732752048\u0026Signature=fCC7KcYz-8SxGGn-oHPKv7PpTkcaacQzJCh8VKMYrBah4Px1f0WkwCAla3~euVBeYLHVpP1KRw~Q-Gn0RMmBLdfg5RE18xEKNeKiXN-6pNbyvkMs-gwxlFTmo-Ob87wyTc9sGn4uj9gld9I4pzzSSDPq7mJxMrdJYy1PkQoY4fBNd3gZdhpCOIi2j9Kn8Xgx8J4psUURvxW~B4ZwRjwBj-UsLXSogF8FjTSbFy7Sr8IhfYLjfmSMFMwEew9RH-hO8PsJFUlwPMQ4~5iZUMvRT4r2UeqZSNQH-XxgpLEZ1MDAhoLuSYNz~U3OpKhthF-xOrRWWbsDUjcGGGF0h-lK5A__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Crossover_exponent_for_piecewise_directed_walk_adsorption_on_Sierpinski_fractals","translated_slug":"","page_count":29,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[{"id":34509341,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/34509341/thumbnails/1.jpg","file_name":"9812112.pdf","download_url":"https://www.academia.edu/attachments/34509341/download_file?st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Crossover_exponent_for_piecewise_directe.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/34509341/9812112-libre.pdf?1408713606=\u0026response-content-disposition=attachment%3B+filename%3DCrossover_exponent_for_piecewise_directe.pdf\u0026Expires=1732752048\u0026Signature=fCC7KcYz-8SxGGn-oHPKv7PpTkcaacQzJCh8VKMYrBah4Px1f0WkwCAla3~euVBeYLHVpP1KRw~Q-Gn0RMmBLdfg5RE18xEKNeKiXN-6pNbyvkMs-gwxlFTmo-Ob87wyTc9sGn4uj9gld9I4pzzSSDPq7mJxMrdJYy1PkQoY4fBNd3gZdhpCOIi2j9Kn8Xgx8J4psUURvxW~B4ZwRjwBj-UsLXSogF8FjTSbFy7Sr8IhfYLjfmSMFMwEew9RH-hO8PsJFUlwPMQ4~5iZUMvRT4r2UeqZSNQH-XxgpLEZ1MDAhoLuSYNz~U3OpKhthF-xOrRWWbsDUjcGGGF0h-lK5A__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"},{"id":34509340,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/34509340/thumbnails/1.jpg","file_name":"9812112.pdf","download_url":"https://www.academia.edu/attachments/34509340/download_file","bulk_download_file_name":"Crossover_exponent_for_piecewise_directe.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/34509340/9812112-libre.pdf?1408713605=\u0026response-content-disposition=attachment%3B+filename%3DCrossover_exponent_for_piecewise_directe.pdf\u0026Expires=1732752048\u0026Signature=O0elLP~5Sm65EaRkdin8HrdO9Ug3wIkM3nXAqaNFUkWkEjjF9cd1g5~3obpVmHqrSxeGKZfAcQu~ApO6LL7deXRyYjAZaXmqEGGLpK3qCpqmnIrNVT8ZQ6-ZSyXaQ~sgkYfBK22b5m4XEv5eJWb1eG7hsc5PkA45D52ig0POXepE~Lu6cbxrIjgWDSqKXe39zSwRi8kvKGoDaDy9u0VpYP9jS-bMWigXcgsdb6ulqdAyqbt3ypofcFc1nWcZqbs-OKDnrpQNERq1vQz175h0mCPdIdFx1Oyur7QY9xTi5fFl2mkCtfZUPmNz0U1cHXTnTYELb2Dxdcnv-YYb77AraQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences"},{"id":118582,"name":"Physical sciences","url":"https://www.academia.edu/Documents/in/Physical_sciences"}],"urls":[{"id":3371016,"url":"http://arxiv.org/abs/cond-mat/9812112"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="8051737"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/8051737/Critical_behavior_of_the_system_of_two_crossing_self_avoiding_walks_on_a_family_of_three_dimensional_fractal_lattices"><img alt="Research paper thumbnail of Critical behavior of the system of two crossing self-avoiding walks on a family of three-dimensional fractal lattices" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/8051737/Critical_behavior_of_the_system_of_two_crossing_self_avoiding_walks_on_a_family_of_three_dimensional_fractal_lattices">Critical behavior of the system of two crossing self-avoiding walks on a family of three-dimensional fractal lattices</a></div><div class="wp-workCard_item"><span>Chaos Solitons & Fractals</span><span>, 2009</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">ABSTRACT We study the polymer system consisting of two-polymer chains situated in a fractal conta...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">ABSTRACT We study the polymer system consisting of two-polymer chains situated in a fractal container that belongs to the three-dimensional Sierpinski Gasket (3D SG) family of fractals. The two-polymer system is modeled by two interacting self-avoiding walks (SAW) immersed in a good solvent. To conceive the inter-chain interactions we apply the model of two crossing self-avoiding walks (CSAW) in which the chains can cross each other. By applying renormalization group (RG) method, we establish the relevant phase diagrams for b=2 and b=3 members of the 3D SG fractal family. Also, at the appropriate transition fixed points we calculate the contact critical exponents φ, associated with the number of contacts between monomers of different chains. For larger b(2⩽b⩽30) we apply Monte Carlo renormalization group (MCRG) method, and compare the obtained results for φ with phenomenological proposals for the contact critical exponent, as well as with results obtained for other similar models of two-polymer system.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="8051737"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="8051737"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 8051737; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=8051737]").text(description); $(".js-view-count[data-work-id=8051737]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 8051737; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='8051737']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 8051737, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=8051737]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":8051737,"title":"Critical behavior of the system of two crossing self-avoiding walks on a family of three-dimensional fractal lattices","translated_title":"","metadata":{"abstract":"ABSTRACT We study the polymer system consisting of two-polymer chains situated in a fractal container that belongs to the three-dimensional Sierpinski Gasket (3D SG) family of fractals. The two-polymer system is modeled by two interacting self-avoiding walks (SAW) immersed in a good solvent. To conceive the inter-chain interactions we apply the model of two crossing self-avoiding walks (CSAW) in which the chains can cross each other. By applying renormalization group (RG) method, we establish the relevant phase diagrams for b=2 and b=3 members of the 3D SG fractal family. Also, at the appropriate transition fixed points we calculate the contact critical exponents φ, associated with the number of contacts between monomers of different chains. For larger b(2⩽b⩽30) we apply Monte Carlo renormalization group (MCRG) method, and compare the obtained results for φ with phenomenological proposals for the contact critical exponent, as well as with results obtained for other similar models of two-polymer system.","publication_date":{"day":null,"month":null,"year":2009,"errors":{}},"publication_name":"Chaos Solitons \u0026 Fractals"},"translated_abstract":"ABSTRACT We study the polymer system consisting of two-polymer chains situated in a fractal container that belongs to the three-dimensional Sierpinski Gasket (3D SG) family of fractals. The two-polymer system is modeled by two interacting self-avoiding walks (SAW) immersed in a good solvent. To conceive the inter-chain interactions we apply the model of two crossing self-avoiding walks (CSAW) in which the chains can cross each other. By applying renormalization group (RG) method, we establish the relevant phase diagrams for b=2 and b=3 members of the 3D SG fractal family. Also, at the appropriate transition fixed points we calculate the contact critical exponents φ, associated with the number of contacts between monomers of different chains. For larger b(2⩽b⩽30) we apply Monte Carlo renormalization group (MCRG) method, and compare the obtained results for φ with phenomenological proposals for the contact critical exponent, as well as with results obtained for other similar models of two-polymer system.","internal_url":"https://www.academia.edu/8051737/Critical_behavior_of_the_system_of_two_crossing_self_avoiding_walks_on_a_family_of_three_dimensional_fractal_lattices","translated_internal_url":"","created_at":"2014-08-22T06:19:43.146-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Critical_behavior_of_the_system_of_two_crossing_self_avoiding_walks_on_a_family_of_three_dimensional_fractal_lattices","translated_slug":"","page_count":null,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering"},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences"}],"urls":[{"id":3371015,"url":"http://www.sciencedirect.com/science/article/pii/S096007790800502X"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="8051736"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/8051736/Comment_on_Critical_behavior_of_the_chain_generating_function_of_self_avoiding_walks_on_the_Sierpinski_gasket_family_The_Euclidean_limit"><img alt="Research paper thumbnail of Comment on ``Critical behavior of the chain--generating function of self--avoiding walks on the Sierpinski gasket family: The Euclidean limit" class="work-thumbnail" src="https://attachments.academia-assets.com/34509338/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/8051736/Comment_on_Critical_behavior_of_the_chain_generating_function_of_self_avoiding_walks_on_the_Sierpinski_gasket_family_The_Euclidean_limit">Comment on ``Critical behavior of the chain--generating function of self--avoiding walks on the Sierpinski gasket family: The Euclidean limit</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We refute the claims made by Riera and Chalub [Phys.Rev.E {\bf 58}, 4001 (1998)] by demonstrating...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We refute the claims made by Riera and Chalub [Phys.Rev.E {\bf 58}, 4001 (1998)] by demonstrating that they have not provided enough data (requisite in their series expansion method) to draw reliable conclusions about criticality of self-avoiding walks on the Sierpinski gasket family of fractals.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="1a9b2a20af8fa0e47151675aa83908a8" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":34509338,"asset_id":8051736,"asset_type":"Work","button_location":"profile"}" 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})(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "1a9b2a20af8fa0e47151675aa83908a8" } } $('.js-work-strip[data-work-id=8051736]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":8051736,"title":"Comment on ``Critical behavior of the chain--generating function of self--avoiding walks on the Sierpinski gasket family: The Euclidean limit","translated_title":"","metadata":{"abstract":"We refute the claims made by Riera and Chalub [Phys.Rev.E {\\bf 58}, 4001 (1998)] by demonstrating that they have not provided enough data (requisite in their series expansion method) to draw reliable conclusions about criticality of self-avoiding walks on the Sierpinski gasket family of fractals.","publication_date":{"day":null,"month":null,"year":1998,"errors":{}}},"translated_abstract":"We refute the claims made by Riera and Chalub [Phys.Rev.E {\\bf 58}, 4001 (1998)] by demonstrating that they have not provided enough data (requisite in their series expansion method) to draw reliable conclusions about criticality of self-avoiding walks on the Sierpinski gasket family of 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Avoiding Walk","url":"https://www.academia.edu/Documents/in/Self_Avoiding_Walk"},{"id":1627143,"name":"Sierpinski gasket","url":"https://www.academia.edu/Documents/in/Sierpinski_gasket"},{"id":2516454,"name":"Generating Function","url":"https://www.academia.edu/Documents/in/Generating_Function"}],"urls":[{"id":3371014,"url":"http://arxiv.org/abs/cond-mat/9812399"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="8051735"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/8051735/Stiffness_dependence_of_critical_exponents_of_semiflexible_polymer_chains_situated_on_two_dimensional_compact_fractals"><img alt="Research paper thumbnail of Stiffness dependence of critical exponents of semiflexible polymer chains situated on two-dimensional compact fractals" class="work-thumbnail" src="https://attachments.academia-assets.com/48239490/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/8051735/Stiffness_dependence_of_critical_exponents_of_semiflexible_polymer_chains_situated_on_two_dimensional_compact_fractals">Stiffness dependence of critical exponents of semiflexible polymer chains situated on two-dimensional compact fractals</a></div><div class="wp-workCard_item"><span>Physical Review E</span><span>, 2009</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We present an exact and Monte Carlo renormalization group (MCRG) study of semiflexible polymer ch...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We present an exact and Monte Carlo renormalization group (MCRG) study of semiflexible polymer chains on an infinite family of the plane-filling (PF) fractals. The fractals are compact, that is, their fractal dimension df is equal to 2 for all members of the fractal family enumerated by the odd integer b(3≤b<∞) . For various values of stiffness parameter s of the chain, on the PF fractals (for 3≤b≤9 ), we calculate exactly the critical exponents ν (associated with the mean squared end-to-end distances of polymer chain) and γ (associated with the total number of different polymer chains). In addition, we calculate ν and γ through the MCRG approach for b up to 201. Our results show that for each particular b , critical exponents are stiffness dependent functions, in such a way that the stiffer polymer chains (with smaller values of s ) display enlarged values of ν , and diminished values of γ . On the other hand, for any specific s , the critical exponent ν monotonically decreases, whereas the critical exponent γ monotonically increases, with the scaling parameter b . We reflect on a possible relevance of the criticality of semiflexible polymer chains on the PF family of fractals to the same problem on the regular Euclidean lattices.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="e3864ca8557ace01c8c76f4c5bfb6637" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":48239490,"asset_id":8051735,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/48239490/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="8051735"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="8051735"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 8051735; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=8051735]").text(description); $(".js-view-count[data-work-id=8051735]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 8051735; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='8051735']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 8051735, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "e3864ca8557ace01c8c76f4c5bfb6637" } } $('.js-work-strip[data-work-id=8051735]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":8051735,"title":"Stiffness dependence of critical exponents of semiflexible polymer chains situated on two-dimensional compact fractals","translated_title":"","metadata":{"abstract":"We present an exact and Monte Carlo renormalization group (MCRG) study of semiflexible polymer chains on an infinite family of the plane-filling (PF) fractals. The fractals are compact, that is, their fractal dimension df is equal to 2 for all members of the fractal family enumerated by the odd integer b(3≤b\u003c∞) . For various values of stiffness parameter s of the chain, on the PF fractals (for 3≤b≤9 ), we calculate exactly the critical exponents ν (associated with the mean squared end-to-end distances of polymer chain) and γ (associated with the total number of different polymer chains). In addition, we calculate ν and γ through the MCRG approach for b up to 201. Our results show that for each particular b , critical exponents are stiffness dependent functions, in such a way that the stiffer polymer chains (with smaller values of s ) display enlarged values of ν , and diminished values of γ . On the other hand, for any specific s , the critical exponent ν monotonically decreases, whereas the critical exponent γ monotonically increases, with the scaling parameter b . We reflect on a possible relevance of the criticality of semiflexible polymer chains on the PF family of fractals to the same problem on the regular Euclidean lattices.","publication_date":{"day":null,"month":null,"year":2009,"errors":{}},"publication_name":"Physical Review E"},"translated_abstract":"We present an exact and Monte Carlo renormalization group (MCRG) study of semiflexible polymer chains on an infinite family of the plane-filling (PF) fractals. The fractals are compact, that is, their fractal dimension df is equal to 2 for all members of the fractal family enumerated by the odd integer b(3≤b\u003c∞) . For various values of stiffness parameter s of the chain, on the PF fractals (for 3≤b≤9 ), we calculate exactly the critical exponents ν (associated with the mean squared end-to-end distances of polymer chain) and γ (associated with the total number of different polymer chains). In addition, we calculate ν and γ through the MCRG approach for b up to 201. Our results show that for each particular b , critical exponents are stiffness dependent functions, in such a way that the stiffer polymer chains (with smaller values of s ) display enlarged values of ν , and diminished values of γ . On the other hand, for any specific s , the critical exponent ν monotonically decreases, whereas the critical exponent γ monotonically increases, with the scaling parameter b . We reflect on a possible relevance of the criticality of semiflexible polymer chains on the PF family of fractals to the same problem on the regular Euclidean lattices.","internal_url":"https://www.academia.edu/8051735/Stiffness_dependence_of_critical_exponents_of_semiflexible_polymer_chains_situated_on_two_dimensional_compact_fractals","translated_internal_url":"","created_at":"2014-08-22T06:19:42.892-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":48239490,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/48239490/thumbnails/1.jpg","file_name":"0907.3107.pdf","download_url":"https://www.academia.edu/attachments/48239490/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Stiffness_dependence_of_critical_exponen.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/48239490/0907.3107-libre.pdf?1471905490=\u0026response-content-disposition=attachment%3B+filename%3DStiffness_dependence_of_critical_exponen.pdf\u0026Expires=1732752049\u0026Signature=SvqNL1f6-7rSji3WCuQpNYKOTEcMZZde3X7siUG3y4KbwvJbfvuYpBJZSJlwkg08GoNyv6Lmu-j3zQSSlINx43ei14PlootuS3t6guOKUgE9iBmbCEvozYXI41zeXzJ23P0yporDpnfVv3D4G~H89suQtUEZEeZdAQwqXLMbbcwpTAJa7BD3csD6rrt9x9WkAdhada0FjWXiXOkLLNREdroH0S2VEt2vGVoolZb7Ea3A~JhIOkbeIIc~pyI8awi7RupzRMN8JLcHTgFbG36h5UkPO2Mg~GXFt6spoor5bg~Tnn~3nwqpzTruGPYvARiDRg2YrR6ykefO7-YcJsAaaQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Stiffness_dependence_of_critical_exponents_of_semiflexible_polymer_chains_situated_on_two_dimensional_compact_fractals","translated_slug":"","page_count":22,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[{"id":48239490,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/48239490/thumbnails/1.jpg","file_name":"0907.3107.pdf","download_url":"https://www.academia.edu/attachments/48239490/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Stiffness_dependence_of_critical_exponen.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/48239490/0907.3107-libre.pdf?1471905490=\u0026response-content-disposition=attachment%3B+filename%3DStiffness_dependence_of_critical_exponen.pdf\u0026Expires=1732752049\u0026Signature=SvqNL1f6-7rSji3WCuQpNYKOTEcMZZde3X7siUG3y4KbwvJbfvuYpBJZSJlwkg08GoNyv6Lmu-j3zQSSlINx43ei14PlootuS3t6guOKUgE9iBmbCEvozYXI41zeXzJ23P0yporDpnfVv3D4G~H89suQtUEZEeZdAQwqXLMbbcwpTAJa7BD3csD6rrt9x9WkAdhada0FjWXiXOkLLNREdroH0S2VEt2vGVoolZb7Ea3A~JhIOkbeIIc~pyI8awi7RupzRMN8JLcHTgFbG36h5UkPO2Mg~GXFt6spoor5bg~Tnn~3nwqpzTruGPYvARiDRg2YrR6ykefO7-YcJsAaaQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering"},{"id":21466,"name":"Polymers","url":"https://www.academia.edu/Documents/in/Polymers"},{"id":24831,"name":"Fractals","url":"https://www.academia.edu/Documents/in/Fractals"},{"id":69542,"name":"Computer Simulation","url":"https://www.academia.edu/Documents/in/Computer_Simulation"},{"id":78086,"name":"Random Walk","url":"https://www.academia.edu/Documents/in/Random_Walk"},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences"},{"id":118582,"name":"Physical sciences","url":"https://www.academia.edu/Documents/in/Physical_sciences"},{"id":494966,"name":"Renormalization Group","url":"https://www.academia.edu/Documents/in/Renormalization_Group"},{"id":586110,"name":"Elastic Modulus","url":"https://www.academia.edu/Documents/in/Elastic_Modulus"},{"id":890611,"name":"Fractal Dimension","url":"https://www.academia.edu/Documents/in/Fractal_Dimension"},{"id":954642,"name":"Levy Flight","url":"https://www.academia.edu/Documents/in/Levy_Flight"},{"id":1333436,"name":"Monte Carlo Method","url":"https://www.academia.edu/Documents/in/Monte_Carlo_Method"}],"urls":[{"id":3371013,"url":"http://adsabs.harvard.edu/abs/2009PhRvE..80f1131Z"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="8051734"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/8051734/Comment_on_Critical_behavior_of_the_chain_generating_function_of_self_avoiding_walks_on_the_Sierpinski_gasket_family_The_Euclidean_limit"><img alt="Research paper thumbnail of Comment on ``Critical behavior of the chain-generating function of self-avoiding walks on the Sierpinski gasket family: The Euclidean limit" class="work-thumbnail" src="https://attachments.academia-assets.com/48239509/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/8051734/Comment_on_Critical_behavior_of_the_chain_generating_function_of_self_avoiding_walks_on_the_Sierpinski_gasket_family_The_Euclidean_limit">Comment on ``Critical behavior of the chain-generating function of self-avoiding walks on the Sierpinski gasket family: The Euclidean limit</a></div><div class="wp-workCard_item"><span>Physical Review E</span><span>, 2000</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We refute the claims made by Riera and Chalub [Phys. Rev. E 58, 4001 (1998)] by demonstrating tha...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We refute the claims made by Riera and Chalub [Phys. Rev. E 58, 4001 (1998)] by demonstrating that they have not provided enough data (requisite in their series expansion method) to draw reliable conclusions about criticality of self-avoiding walks on the Sierpinski gasket family of fractals.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="5e1cac5f7c2da8c673e7819168f5f5d9" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":48239509,"asset_id":8051734,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/48239509/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="8051734"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="8051734"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 8051734; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=8051734]").text(description); $(".js-view-count[data-work-id=8051734]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 8051734; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='8051734']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 8051734, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "5e1cac5f7c2da8c673e7819168f5f5d9" } } $('.js-work-strip[data-work-id=8051734]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":8051734,"title":"Comment on ``Critical behavior of the chain-generating function of self-avoiding walks on the Sierpinski gasket family: The Euclidean limit","translated_title":"","metadata":{"abstract":"We refute the claims made by Riera and Chalub [Phys. 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E 58, 4001 (1998)] by demonstrating that they have not provided enough data (requisite in their series expansion method) to draw reliable conclusions about criticality of self-avoiding walks on the Sierpinski gasket family of fractals.","internal_url":"https://www.academia.edu/8051734/Comment_on_Critical_behavior_of_the_chain_generating_function_of_self_avoiding_walks_on_the_Sierpinski_gasket_family_The_Euclidean_limit","translated_internal_url":"","created_at":"2014-08-22T06:19:42.764-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":48239509,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/48239509/thumbnails/1.jpg","file_name":"Comment_on_Critical_behavior_of_the_chai20160822-7464-ac1h8m.pdf","download_url":"https://www.academia.edu/attachments/48239509/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Comment_on_Critical_behavior_of_the_chai.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/48239509/Comment_on_Critical_behavior_of_the_chai20160822-7464-ac1h8m-libre.pdf?1471905488=\u0026response-content-disposition=attachment%3B+filename%3DComment_on_Critical_behavior_of_the_chai.pdf\u0026Expires=1732752049\u0026Signature=XQZlDOGjfX6XZIwl1~h0~~Fah-iYM-ZTQRD-X4p5xkrV7JWsDZpb3mQXdd57PCnCEuVteFWPYxdf1zdfyV8ruddMUktGpOdd6wCEp99gs4vygdzT4HT587vVCgTAJYeKI7gQzLc9FX3fzrmsaSRwRbDidLjsrpMgLLs40tiNqmwynfLPWbIO6PQXXYrOlER8ljDtjX~mHRkk-gWESnqUiroLx0qwwRUy3rORQyaxC3h6uXxUy1cxN2ZkjgPjolnDobrs1ZxpGmMritCxbChNNBBgkDiFXtFMNbaMKrryb8TwAujDY~N4GL~fbefDS0IJjjt46Qm1lL-glEplzG~Iog__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Comment_on_Critical_behavior_of_the_chain_generating_function_of_self_avoiding_walks_on_the_Sierpinski_gasket_family_The_Euclidean_limit","translated_slug":"","page_count":11,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[{"id":48239509,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/48239509/thumbnails/1.jpg","file_name":"Comment_on_Critical_behavior_of_the_chai20160822-7464-ac1h8m.pdf","download_url":"https://www.academia.edu/attachments/48239509/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Comment_on_Critical_behavior_of_the_chai.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/48239509/Comment_on_Critical_behavior_of_the_chai20160822-7464-ac1h8m-libre.pdf?1471905488=\u0026response-content-disposition=attachment%3B+filename%3DComment_on_Critical_behavior_of_the_chai.pdf\u0026Expires=1732752049\u0026Signature=XQZlDOGjfX6XZIwl1~h0~~Fah-iYM-ZTQRD-X4p5xkrV7JWsDZpb3mQXdd57PCnCEuVteFWPYxdf1zdfyV8ruddMUktGpOdd6wCEp99gs4vygdzT4HT587vVCgTAJYeKI7gQzLc9FX3fzrmsaSRwRbDidLjsrpMgLLs40tiNqmwynfLPWbIO6PQXXYrOlER8ljDtjX~mHRkk-gWESnqUiroLx0qwwRUy3rORQyaxC3h6uXxUy1cxN2ZkjgPjolnDobrs1ZxpGmMritCxbChNNBBgkDiFXtFMNbaMKrryb8TwAujDY~N4GL~fbefDS0IJjjt46Qm1lL-glEplzG~Iog__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":1278668,"name":"Self Avoiding Walk","url":"https://www.academia.edu/Documents/in/Self_Avoiding_Walk"},{"id":1627143,"name":"Sierpinski gasket","url":"https://www.academia.edu/Documents/in/Sierpinski_gasket"},{"id":2516454,"name":"Generating Function","url":"https://www.academia.edu/Documents/in/Generating_Function"}],"urls":[{"id":3371012,"url":"http://adsabs.harvard.edu/abs/2000PhRvE..61.2141M"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="8051733"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/8051733/Exact_renormalization_group_treatment_of_the_piecewise_directed_random_walks_on_fractals"><img alt="Research paper thumbnail of Exact renormalization group treatment of the piecewise directed random walks on fractals" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/8051733/Exact_renormalization_group_treatment_of_the_piecewise_directed_random_walks_on_fractals">Exact renormalization group treatment of the piecewise directed random walks on fractals</a></div><div class="wp-workCard_item"><span>Physica A-statistical Mechanics and Its Applications</span><span>, 1988</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">An exact evaluation of the critical exponent v associated with the mean squared end-to-end distan...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">An exact evaluation of the critical exponent v associated with the mean squared end-to-end distance of the piecewise directed random walks is presented in the case of the complete family of the Sierpinski gasket type of fractals.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="8051733"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="8051733"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 8051733; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="8051732"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/8051732/Piecewise_directed_random_walk_on_the_Sierpinski_gasket_family_of_fractals"><img alt="Research paper thumbnail of Piecewise directed random walk on the Sierpinski gasket family of fractals" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/8051732/Piecewise_directed_random_walk_on_the_Sierpinski_gasket_family_of_fractals">Piecewise directed random walk on the Sierpinski gasket family of fractals</a></div><div class="wp-workCard_item"><span>Physics Letters A</span><span>, 1989</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="8051732"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="8051732"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 8051732; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=8051732]").text(description); $(".js-view-count[data-work-id=8051732]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 8051732; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='8051732']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 8051732, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=8051732]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":8051732,"title":"Piecewise directed random walk on the Sierpinski gasket family of fractals","translated_title":"","metadata":{"publication_date":{"day":null,"month":null,"year":1989,"errors":{}},"publication_name":"Physics Letters A"},"translated_abstract":null,"internal_url":"https://www.academia.edu/8051732/Piecewise_directed_random_walk_on_the_Sierpinski_gasket_family_of_fractals","translated_internal_url":"","created_at":"2014-08-22T06:19:42.513-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Piecewise_directed_random_walk_on_the_Sierpinski_gasket_family_of_fractals","translated_slug":"","page_count":null,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[],"research_interests":[{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences"},{"id":118582,"name":"Physical sciences","url":"https://www.academia.edu/Documents/in/Physical_sciences"}],"urls":[{"id":3371010,"url":"http://linkinghub.elsevier.com/retrieve/pii/0375960189907494"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="8051731"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/8051731/Statistics_of_semiflexible_self_avoiding_trails_on_a_family_of_two_dimensional_compact_fractals"><img alt="Research paper thumbnail of Statistics of semiflexible self-avoiding trails on a family of two-dimensional compact fractals" class="work-thumbnail" src="https://attachments.academia-assets.com/48239516/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/8051731/Statistics_of_semiflexible_self_avoiding_trails_on_a_family_of_two_dimensional_compact_fractals">Statistics of semiflexible self-avoiding trails on a family of two-dimensional compact fractals</a></div><div class="wp-workCard_item"><span>Journal of Statistical Mechanics-theory and Experiment</span><span>, 2011</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We have applied the exact and Monte Carlo renormalization group (MCRG) method to study the statis...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We have applied the exact and Monte Carlo renormalization group (MCRG) method to study the statistics of semiflexible self-avoiding trails (SATs) on the family of plane-filling (PF) fractals. Each fractal of the family is compact, that is, the fractal dimension df is equal to 2 for all members of the PF family, which are enumerated by an odd integer b, 3\le b\lt \infty . Varying values of the stiffness parameter s of trails from 1 to 0 (so that when s decreases the trail stiffness increases) we calculate exactly (for 3 <= b <= 7) and through the MCRG approach (for b <= 201) the sets of the critical exponents ν (associated with the mean squared end-to-end distances of SATs) and γ (associated with the total number of different SATs). Our results show that critical exponents are stiffness dependent functions, so that ν(s) is a monotonically decreasing function of s, for each studied b, whereas γ(s) displays a non-monotonic behavior for some values of b. On the other hand, by fixing the stiffness parameter s, our results show clearly that for highly flexible trails (with s = 1 and 0.9) ν is a non-monotonic function of b, while for stiffer SATs (with s <= 0.7) ν monotonically decreases with b. We also show that γ(b) increases with increasing b, independently of s. Finally, we compare the obtained SAT data with those obtained for the semiflexible self-avoiding walk (SAW) model on the same fractal family, and for both models we discuss behavior of the studied exponents in the fractal-to-Euclidean crossover region b\to \infty .</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="86b6a79b4b212a056935ca696d6560b8" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":48239516,"asset_id":8051731,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/48239516/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="8051731"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="8051731"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 8051731; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=8051731]").text(description); $(".js-view-count[data-work-id=8051731]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 8051731; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='8051731']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 8051731, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "86b6a79b4b212a056935ca696d6560b8" } } $('.js-work-strip[data-work-id=8051731]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":8051731,"title":"Statistics of semiflexible self-avoiding trails on a family of two-dimensional compact fractals","translated_title":"","metadata":{"abstract":"We have applied the exact and Monte Carlo renormalization group (MCRG) method to study the statistics of semiflexible self-avoiding trails (SATs) on the family of plane-filling (PF) fractals. Each fractal of the family is compact, that is, the fractal dimension df is equal to 2 for all members of the PF family, which are enumerated by an odd integer b, 3\\le b\\lt \\infty . Varying values of the stiffness parameter s of trails from 1 to 0 (so that when s decreases the trail stiffness increases) we calculate exactly (for 3 \u003c= b \u003c= 7) and through the MCRG approach (for b \u003c= 201) the sets of the critical exponents ν (associated with the mean squared end-to-end distances of SATs) and γ (associated with the total number of different SATs). Our results show that critical exponents are stiffness dependent functions, so that ν(s) is a monotonically decreasing function of s, for each studied b, whereas γ(s) displays a non-monotonic behavior for some values of b. On the other hand, by fixing the stiffness parameter s, our results show clearly that for highly flexible trails (with s = 1 and 0.9) ν is a non-monotonic function of b, while for stiffer SATs (with s \u003c= 0.7) ν monotonically decreases with b. We also show that γ(b) increases with increasing b, independently of s. Finally, we compare the obtained SAT data with those obtained for the semiflexible self-avoiding walk (SAW) model on the same fractal family, and for both models we discuss behavior of the studied exponents in the fractal-to-Euclidean crossover region b\\to \\infty .","publication_date":{"day":null,"month":null,"year":2011,"errors":{}},"publication_name":"Journal of Statistical Mechanics-theory and Experiment"},"translated_abstract":"We have applied the exact and Monte Carlo renormalization group (MCRG) method to study the statistics of semiflexible self-avoiding trails (SATs) on the family of plane-filling (PF) fractals. 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On the other hand, by fixing the stiffness parameter s, our results show clearly that for highly flexible trails (with s = 1 and 0.9) ν is a non-monotonic function of b, while for stiffer SATs (with s \u003c= 0.7) ν monotonically decreases with b. We also show that γ(b) increases with increasing b, independently of s. 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window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=82302039]").text(description); $(".js-view-count[data-work-id=82302039]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 82302039; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='82302039']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 82302039, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); 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Members of the MR family are enumerated by an integer p (2 ≤ p \u003c ∞) and fractal dimension of each member of the family is equal to 2. The polymer flexibility is described by the stiffness parameter s, while the polymer conformations are modelled by weighted Hamiltonian walks (HWs). Applying an exact method of recurrence equations we have found that partition function Z N for closed HWs consisting of N steps scales as ω N µ √ N , where constants ω and µ depend on both p and s. We have calculated numerically the stiffness dependence of the polymer persistence length, as well as various thermodynamic quantities (such as free and internal energy, specific heat and entropy) for a large set of members of MR family. Analysis of these quantities has shown that semi-flexible compact polymers on MR lattices can exist only in the liquidlike (disordered) phase, whereas the crystal (ordered) phase has not appeared. Finally, behavior of the examined system at zero temperature has been discussed.","publication_date":{"day":null,"month":null,"year":2019,"errors":{}},"publication_name":"Journal of Physics A: Mathematical and Theoretical","grobid_abstract_attachment_id":88055182},"translated_abstract":null,"internal_url":"https://www.academia.edu/82302039/Semi_flexible_compact_polymers_in_two_dimensional_nonhomogeneous_confinement","translated_internal_url":"","created_at":"2022-06-28T10:19:28.799-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":88055182,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/88055182/thumbnails/1.jpg","file_name":"1805.pdf","download_url":"https://www.academia.edu/attachments/88055182/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Semi_flexible_compact_polymers_in_two_di.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/88055182/1805-libre.pdf?1656437875=\u0026response-content-disposition=attachment%3B+filename%3DSemi_flexible_compact_polymers_in_two_di.pdf\u0026Expires=1732752048\u0026Signature=DwjeWqQ97rJqEuhsHQ3hCT~bFVYAXd5fQlG~4wfGguKO5Gf1ZADvNDgb~lWDFP9FYVODD-xOCB7fIC7WZFzF~ZAXC40YhfxSnesw5VF8Di17OaFq54F~lYkKgLl~OvapWgYO8phZLtDeQPNL7RtkWX42n0Surcr77O-tVYlOJXU8~yJqJ2bxThHLTEUJh6SzHxtMFZvTildAYtf~lRK7f5sSBYrpZjBNxUPPunWQKbag~LQ5URpRJK8gPlzatmg25tql5V4NVX5NYhCTq0Fjqf7oosCA1PosViIwojQvSCkJMeQy7q6jK2Wl2i2T6hbnKl68dg39obRoGLim7ke74A__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Semi_flexible_compact_polymers_in_two_dimensional_nonhomogeneous_confinement","translated_slug":"","page_count":21,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[{"id":88055182,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/88055182/thumbnails/1.jpg","file_name":"1805.pdf","download_url":"https://www.academia.edu/attachments/88055182/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Semi_flexible_compact_polymers_in_two_di.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/88055182/1805-libre.pdf?1656437875=\u0026response-content-disposition=attachment%3B+filename%3DSemi_flexible_compact_polymers_in_two_di.pdf\u0026Expires=1732752048\u0026Signature=DwjeWqQ97rJqEuhsHQ3hCT~bFVYAXd5fQlG~4wfGguKO5Gf1ZADvNDgb~lWDFP9FYVODD-xOCB7fIC7WZFzF~ZAXC40YhfxSnesw5VF8Di17OaFq54F~lYkKgLl~OvapWgYO8phZLtDeQPNL7RtkWX42n0Surcr77O-tVYlOJXU8~yJqJ2bxThHLTEUJh6SzHxtMFZvTildAYtf~lRK7f5sSBYrpZjBNxUPPunWQKbag~LQ5URpRJK8gPlzatmg25tql5V4NVX5NYhCTq0Fjqf7oosCA1PosViIwojQvSCkJMeQy7q6jK2Wl2i2T6hbnKl68dg39obRoGLim7ke74A__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":300,"name":"Mathematics","url":"https://www.academia.edu/Documents/in/Mathematics"},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics"},{"id":511,"name":"Materials Science","url":"https://www.academia.edu/Documents/in/Materials_Science"},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences"},{"id":118582,"name":"Physical sciences","url":"https://www.academia.edu/Documents/in/Physical_sciences"}],"urls":[{"id":21783608,"url":"http://stacks.iop.org/1751-8121/52/i=12/a=125001?key=crossref.7ca21b637b75b66cf039bfe89e3381eb"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="82302033"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/82302033/Compact_Polymers_on_Fractal_Lattices"><img alt="Research paper thumbnail of Compact Polymers on Fractal Lattices" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/82302033/Compact_Polymers_on_Fractal_Lattices">Compact Polymers on Fractal Lattices</a></div><div class="wp-workCard_item"><span>AIP Conference Proceedings</span><span>, 2007</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We study compact polymers, modelled by Hamiltonian walks (HWs), i.e. self‐avoiding walks that vis...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We study compact polymers, modelled by Hamiltonian walks (HWs), i.e. self‐avoiding walks that visit every site of the lattice, on various fractal lattices: Sierpinski gasket (SG), Given‐Mandelbrot family of fractals, modified SG fractals, and n‐simplex fractals. Self‐similarity of these lattices enables establishing exact recursion relations for the numbers of HWs conveniently divided into several classes. Via analytical and numerical analysis of these relations, we find the asymptotic behaviour of the number of HWs and calculate connectivity constants, as well as critical exponents corresponding to the overall number of open and closed HWs. The nonuniversality of the HW critical exponents, obtained for some homogeneous lattices is confirmed by our results, whereas the scaling relations for the number of HWs, obtained here, are in general different from the relations expected for homogeneous lattices.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="82302033"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="82302033"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 82302033; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=82302033]").text(description); $(".js-view-count[data-work-id=82302033]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 82302033; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='82302033']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 82302033, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=82302033]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":82302033,"title":"Compact Polymers on Fractal Lattices","translated_title":"","metadata":{"abstract":"We study compact polymers, modelled by Hamiltonian walks (HWs), i.e. self‐avoiding walks that visit every site of the lattice, on various fractal lattices: Sierpinski gasket (SG), Given‐Mandelbrot family of fractals, modified SG fractals, and n‐simplex fractals. Self‐similarity of these lattices enables establishing exact recursion relations for the numbers of HWs conveniently divided into several classes. Via analytical and numerical analysis of these relations, we find the asymptotic behaviour of the number of HWs and calculate connectivity constants, as well as critical exponents corresponding to the overall number of open and closed HWs. The nonuniversality of the HW critical exponents, obtained for some homogeneous lattices is confirmed by our results, whereas the scaling relations for the number of HWs, obtained here, are in general different from the relations expected for homogeneous lattices.","publisher":"AIP","publication_date":{"day":null,"month":null,"year":2007,"errors":{}},"publication_name":"AIP Conference Proceedings"},"translated_abstract":"We study compact polymers, modelled by Hamiltonian walks (HWs), i.e. self‐avoiding walks that visit every site of the lattice, on various fractal lattices: Sierpinski gasket (SG), Given‐Mandelbrot family of fractals, modified SG fractals, and n‐simplex fractals. Self‐similarity of these lattices enables establishing exact recursion relations for the numbers of HWs conveniently divided into several classes. Via analytical and numerical analysis of these relations, we find the asymptotic behaviour of the number of HWs and calculate connectivity constants, as well as critical exponents corresponding to the overall number of open and closed HWs. The nonuniversality of the HW critical exponents, obtained for some homogeneous lattices is confirmed by our results, whereas the scaling relations for the number of HWs, obtained here, are in general different from the relations expected for homogeneous lattices.","internal_url":"https://www.academia.edu/82302033/Compact_Polymers_on_Fractal_Lattices","translated_internal_url":"","created_at":"2022-06-28T10:18:57.173-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Compact_Polymers_on_Fractal_Lattices","translated_slug":"","page_count":null,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[],"research_interests":[{"id":300,"name":"Mathematics","url":"https://www.academia.edu/Documents/in/Mathematics"},{"id":172625,"name":"Fractal","url":"https://www.academia.edu/Documents/in/Fractal"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="82302025"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/82302025/Semi_flexible_compact_polymers_on_fractal_lattices"><img alt="Research paper thumbnail of Semi-flexible compact polymers on fractal lattices" class="work-thumbnail" src="https://attachments.academia-assets.com/88055171/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/82302025/Semi_flexible_compact_polymers_on_fractal_lattices">Semi-flexible compact polymers on fractal lattices</a></div><div class="wp-workCard_item"><span>Physica A: Statistical Mechanics and its Applications</span><span>, 2011</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="71e62b02832be125bbfa744771a9acae" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":88055171,"asset_id":82302025,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/88055171/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="82302025"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="82302025"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 82302025; 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This model is proposed to describe conformational and thermodynamic properties of a single semi-flexible ring polymer confined in a poor and disordered (e.g. crowded) solvent. Due to the competition between temperature and polymer stiffness, there is a possibility for the phase transition between molten globule and crystal phase of a polymer to occur. The partition function of the model in the thermodynamic limit is obtained and analyzed as a function of polymer stiffness parameter s (Boltzmann weight), which for semi-flexible polymers can take on values over the interval (0,1). Other quantities, such as persistence length, specific heat and entropy, are obtained numerically and presented graphically as functions of stiffness parameter s.","publication_date":{"day":null,"month":null,"year":2011,"errors":{}},"publication_name":"Physica A: Statistical Mechanics and its Applications","grobid_abstract_attachment_id":88055171},"translated_abstract":null,"internal_url":"https://www.academia.edu/82302025/Semi_flexible_compact_polymers_on_fractal_lattices","translated_internal_url":"","created_at":"2022-06-28T10:18:13.247-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":88055171,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/88055171/thumbnails/1.jpg","file_name":"4059.pdf","download_url":"https://www.academia.edu/attachments/88055171/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Semi_flexible_compact_polymers_on_fracta.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/88055171/4059-libre.pdf?1656437872=\u0026response-content-disposition=attachment%3B+filename%3DSemi_flexible_compact_polymers_on_fracta.pdf\u0026Expires=1732752048\u0026Signature=bZK2-zDNmz9i1Tqbwn4y1Q~ylWTKTyGeIN9qKMjMyl52PvFps4zEH~9U7rQR~ZNs1Cy9sX-TrXHMIhl0e8iCNUDrUXKXuQ5i6YS6XfhlEqIRFoBejBXQM~P17pc9QBliR1-cObEUZVUqpbsHsvdwWQMsZY4iyb~MFuQDfJvsdnIsk3ZLauzeSxis-pkQlqQKE5JCY0FgPHp9He4mO-ovUQR2AvsGvz9BGyvU4uXTqvzGaj57b55bSBD0SjPPIzf4vG5BajfXmd76k65nQEyQn3t6IwONm6fC0IIQWt5ZV4ln6St2L89O-fYUxHUPWw0rjgfrQws4yUBRKHq-O8GgvQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Semi_flexible_compact_polymers_on_fractal_lattices","translated_slug":"","page_count":7,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[{"id":88055171,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/88055171/thumbnails/1.jpg","file_name":"4059.pdf","download_url":"https://www.academia.edu/attachments/88055171/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Semi_flexible_compact_polymers_on_fracta.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/88055171/4059-libre.pdf?1656437872=\u0026response-content-disposition=attachment%3B+filename%3DSemi_flexible_compact_polymers_on_fracta.pdf\u0026Expires=1732752048\u0026Signature=bZK2-zDNmz9i1Tqbwn4y1Q~ylWTKTyGeIN9qKMjMyl52PvFps4zEH~9U7rQR~ZNs1Cy9sX-TrXHMIhl0e8iCNUDrUXKXuQ5i6YS6XfhlEqIRFoBejBXQM~P17pc9QBliR1-cObEUZVUqpbsHsvdwWQMsZY4iyb~MFuQDfJvsdnIsk3ZLauzeSxis-pkQlqQKE5JCY0FgPHp9He4mO-ovUQR2AvsGvz9BGyvU4uXTqvzGaj57b55bSBD0SjPPIzf4vG5BajfXmd76k65nQEyQn3t6IwONm6fC0IIQWt5ZV4ln6St2L89O-fYUxHUPWw0rjgfrQws4yUBRKHq-O8GgvQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":300,"name":"Mathematics","url":"https://www.academia.edu/Documents/in/Mathematics"},{"id":317,"name":"Fractal Geometry","url":"https://www.academia.edu/Documents/in/Fractal_Geometry"},{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics"},{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics"},{"id":522,"name":"Thermodynamics","url":"https://www.academia.edu/Documents/in/Thermodynamics"},{"id":523,"name":"Chemistry","url":"https://www.academia.edu/Documents/in/Chemistry"},{"id":172625,"name":"Fractal","url":"https://www.academia.edu/Documents/in/Fractal"},{"id":173963,"name":"Phase transition","url":"https://www.academia.edu/Documents/in/Phase_transition"},{"id":230901,"name":"Molten Globule","url":"https://www.academia.edu/Documents/in/Molten_Globule"},{"id":247487,"name":"Temperature Dependence","url":"https://www.academia.edu/Documents/in/Temperature_Dependence"},{"id":556555,"name":"Partition Function","url":"https://www.academia.edu/Documents/in/Partition_Function"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="82302015"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/82302015/Critical_exponents_of_surface_interacting_self_avoiding_walks_on_a_family_of_truncated_n_simplex_lattices"><img alt="Research paper thumbnail of Critical exponents of surface-interacting self-avoiding walks on a family of truncated n-simplex lattices" class="work-thumbnail" src="https://attachments.academia-assets.com/88055164/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/82302015/Critical_exponents_of_surface_interacting_self_avoiding_walks_on_a_family_of_truncated_n_simplex_lattices">Critical exponents of surface-interacting self-avoiding walks on a family of truncated n-simplex lattices</a></div><div class="wp-workCard_item"><span>Physica A: Statistical Mechanics and its Applications</span><span>, 1996</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="b36f2f50148c0738a2d5c87ae4d85945" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":88055164,"asset_id":82302015,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/88055164/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="82302015"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="82302015"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 82302015; 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Using the exact renormalization group method we have been able to obtain the exact values of various critical exponents for all values of n up to n = 6. We also derived simple formulas which describe the asymptotic behavior of these exponents in the limit of large n (n → ∞). In spite of the fact that the coordination number of the lattice tends to infinity in this limit, we found that the most of the studied critical exponents approach certain finite values, which differ from corresponding values for simple random walks (without self-avoiding walk constraint).","publication_date":{"day":null,"month":null,"year":1996,"errors":{}},"publication_name":"Physica A: Statistical Mechanics and its Applications","grobid_abstract_attachment_id":88055164},"translated_abstract":null,"internal_url":"https://www.academia.edu/82302015/Critical_exponents_of_surface_interacting_self_avoiding_walks_on_a_family_of_truncated_n_simplex_lattices","translated_internal_url":"","created_at":"2022-06-28T10:17:45.013-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":88055164,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/88055164/thumbnails/1.jpg","file_name":"9612233.pdf","download_url":"https://www.academia.edu/attachments/88055164/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Critical_exponents_of_surface_interactin.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/88055164/9612233-libre.pdf?1656437875=\u0026response-content-disposition=attachment%3B+filename%3DCritical_exponents_of_surface_interactin.pdf\u0026Expires=1732752048\u0026Signature=GwifIbODGPqinA8a5T4adn1r~rqFK9MdNNg9mpwX7CyIj3aO10uDodMjh5NlK02EfKInEb0wLsWn2u6tl~K6-5wpQbrR6ZYSYB9CbaL5Z~dEwWvvtun42kGbrhOwCy2ztI62TR89s8jtgy8HqtNrVlxJ53uHuDYQ7SIG9PawYpoHoxUJzWpOt42~en1HnRZmsjJOTG1Oly2quTXWZgW3JHxe3O6WavXkxJkhvDO~MZUHDI6YFOXUlvZKSoYfok7OuYHQsf8Ml86R2udPBJFVOus8xpHzbqIjtQBzy8eG6-3VkL5STFN8Mg4L35KKErUYb3GStS06ywcczUmcPy3RiA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Critical_exponents_of_surface_interacting_self_avoiding_walks_on_a_family_of_truncated_n_simplex_lattices","translated_slug":"","page_count":33,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[{"id":88055164,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/88055164/thumbnails/1.jpg","file_name":"9612233.pdf","download_url":"https://www.academia.edu/attachments/88055164/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Critical_exponents_of_surface_interactin.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/88055164/9612233-libre.pdf?1656437875=\u0026response-content-disposition=attachment%3B+filename%3DCritical_exponents_of_surface_interactin.pdf\u0026Expires=1732752048\u0026Signature=GwifIbODGPqinA8a5T4adn1r~rqFK9MdNNg9mpwX7CyIj3aO10uDodMjh5NlK02EfKInEb0wLsWn2u6tl~K6-5wpQbrR6ZYSYB9CbaL5Z~dEwWvvtun42kGbrhOwCy2ztI62TR89s8jtgy8HqtNrVlxJ53uHuDYQ7SIG9PawYpoHoxUJzWpOt42~en1HnRZmsjJOTG1Oly2quTXWZgW3JHxe3O6WavXkxJkhvDO~MZUHDI6YFOXUlvZKSoYfok7OuYHQsf8Ml86R2udPBJFVOus8xpHzbqIjtQBzy8eG6-3VkL5STFN8Mg4L35KKErUYb3GStS06ywcczUmcPy3RiA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":300,"name":"Mathematics","url":"https://www.academia.edu/Documents/in/Mathematics"},{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics"},{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics"},{"id":112234,"name":"Exact Renormalization Group","url":"https://www.academia.edu/Documents/in/Exact_Renormalization_Group"},{"id":494966,"name":"Renormalization Group","url":"https://www.academia.edu/Documents/in/Renormalization_Group"},{"id":721120,"name":"Coordination number","url":"https://www.academia.edu/Documents/in/Coordination_number"},{"id":1278668,"name":"Self Avoiding Walk","url":"https://www.academia.edu/Documents/in/Self_Avoiding_Walk"},{"id":3599123,"name":"critical behavior","url":"https://www.academia.edu/Documents/in/critical_behavior"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="82301995"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/82301995/Pulling_self_interacting_linear_polymers_on_a_family_of_fractal_lattices_embedded_in_three_dimensional_space"><img alt="Research paper thumbnail of Pulling self-interacting linear polymers on a family of fractal lattices embedded in three-dimensional space" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/82301995/Pulling_self_interacting_linear_polymers_on_a_family_of_fractal_lattices_embedded_in_three_dimensional_space">Pulling self-interacting linear polymers on a family of fractal lattices embedded in three-dimensional space</a></div><div class="wp-workCard_item"><span>Journal of Statistical Mechanics: Theory and Experiment</span><span>, 2013</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">ABSTRACT We have studied the problem of force pulling self-interacting linear polymers situated i...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">ABSTRACT We have studied the problem of force pulling self-interacting linear polymers situated in fractal containers that belong to the Sierpinski gasket (SG) family of fractals embedded in three-dimensional (3D) space. Each member of this family is labeled with an integer b (2 ≤ b ≤ ∞). The polymer chain is modeled by a self-avoiding walk (SAW) with one end anchored to one of the four boundary walls of the lattice, while the other (floating in the bulk of the fractal) is the position at which the force is acting. By applying an exact renormalization group (RG) method we have established the phase diagrams, including the critical force–temperature dependence, for fractals with b = 2,3 and 4. Also, for the same fractals, in all polymer phases, we examined the generating function G1 for the numbers of all possible SAWs with one end anchored to the boundary wall. We found that besides the usual power-law singularity of G1, governed by the critical exponent γ1, whose specific values are worked out for all cases studied, in some regimes the function G1 displays an essential singularity in its behavior.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="82301995"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="82301995"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 82301995; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=82301995]").text(description); $(".js-view-count[data-work-id=82301995]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 82301995; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='82301995']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 82301995, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=82301995]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":82301995,"title":"Pulling self-interacting linear polymers on a family of fractal lattices embedded in three-dimensional space","translated_title":"","metadata":{"abstract":"ABSTRACT We have studied the problem of force pulling self-interacting linear polymers situated in fractal containers that belong to the Sierpinski gasket (SG) family of fractals embedded in three-dimensional (3D) space. Each member of this family is labeled with an integer b (2 ≤ b ≤ ∞). The polymer chain is modeled by a self-avoiding walk (SAW) with one end anchored to one of the four boundary walls of the lattice, while the other (floating in the bulk of the fractal) is the position at which the force is acting. By applying an exact renormalization group (RG) method we have established the phase diagrams, including the critical force–temperature dependence, for fractals with b = 2,3 and 4. Also, for the same fractals, in all polymer phases, we examined the generating function G1 for the numbers of all possible SAWs with one end anchored to the boundary wall. We found that besides the usual power-law singularity of G1, governed by the critical exponent γ1, whose specific values are worked out for all cases studied, in some regimes the function G1 displays an essential singularity in its behavior.","publisher":"IOP Publishing","publication_date":{"day":null,"month":null,"year":2013,"errors":{}},"publication_name":"Journal of Statistical Mechanics: Theory and Experiment"},"translated_abstract":"ABSTRACT We have studied the problem of force pulling self-interacting linear polymers situated in fractal containers that belong to the Sierpinski gasket (SG) family of fractals embedded in three-dimensional (3D) space. Each member of this family is labeled with an integer b (2 ≤ b ≤ ∞). The polymer chain is modeled by a self-avoiding walk (SAW) with one end anchored to one of the four boundary walls of the lattice, while the other (floating in the bulk of the fractal) is the position at which the force is acting. By applying an exact renormalization group (RG) method we have established the phase diagrams, including the critical force–temperature dependence, for fractals with b = 2,3 and 4. Also, for the same fractals, in all polymer phases, we examined the generating function G1 for the numbers of all possible SAWs with one end anchored to the boundary wall. We found that besides the usual power-law singularity of G1, governed by the critical exponent γ1, whose specific values are worked out for all cases studied, in some regimes the function G1 displays an essential singularity in its behavior.","internal_url":"https://www.academia.edu/82301995/Pulling_self_interacting_linear_polymers_on_a_family_of_fractal_lattices_embedded_in_three_dimensional_space","translated_internal_url":"","created_at":"2022-06-28T10:17:29.340-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Pulling_self_interacting_linear_polymers_on_a_family_of_fractal_lattices_embedded_in_three_dimensional_space","translated_slug":"","page_count":null,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[],"research_interests":[{"id":300,"name":"Mathematics","url":"https://www.academia.edu/Documents/in/Mathematics"},{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics"},{"id":80799,"name":"Classical Physics","url":"https://www.academia.edu/Documents/in/Classical_Physics"},{"id":172625,"name":"Fractal","url":"https://www.academia.edu/Documents/in/Fractal"}],"urls":[]}, dispatcherData: dispatcherData }); 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="68591699"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/68591699/Interacting_linear_polymers_on_three_dimensional_Sierpinski_fractals"><img alt="Research paper thumbnail of Interacting linear polymers on three-dimensional Sierpinski fractals" class="work-thumbnail" src="https://attachments.academia-assets.com/79018156/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/68591699/Interacting_linear_polymers_on_three_dimensional_Sierpinski_fractals">Interacting linear polymers on three-dimensional Sierpinski fractals</a></div><div class="wp-workCard_item"><span>arXiv: Statistical Mechanics</span><span>, 2002</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Using self-avoiding walk model on three-dimensional Sierpinski fractals (3d SF) we have studied c...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Using self-avoiding walk model on three-dimensional Sierpinski fractals (3d SF) we have studied critical properties of self-interacting linear polymers in porous environment, via exact real-space renormalization group (RG) method. We have found that RG equations for 3d SF with base b=4 are much more complicated than for the previously studied b=2 and b=3 3d SFs. Numerical analysis of these equations shows that for all considered cases there are three fixed points, corresponding to the high-temperature extended polymer state, collapse transition, and the low-temperature state, which is compact or semi-compact, depending on the value of the fractal base b. We discuss the reasons for such different low--temperature behavior, as well as the possibility of establishing the RG equations beyond b=4.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="a2cbc8bb6efceba11a636e7657ba8dfe" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":79018156,"asset_id":68591699,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/79018156/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="68591699"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="68591699"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 68591699; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=68591699]").text(description); $(".js-view-count[data-work-id=68591699]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 68591699; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='68591699']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 68591699, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "a2cbc8bb6efceba11a636e7657ba8dfe" } } $('.js-work-strip[data-work-id=68591699]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":68591699,"title":"Interacting linear polymers on three-dimensional Sierpinski fractals","translated_title":"","metadata":{"abstract":"Using self-avoiding walk model on three-dimensional Sierpinski fractals (3d SF) we have studied critical properties of self-interacting linear polymers in porous environment, via exact real-space renormalization group (RG) method. We have found that RG equations for 3d SF with base b=4 are much more complicated than for the previously studied b=2 and b=3 3d SFs. Numerical analysis of these equations shows that for all considered cases there are three fixed points, corresponding to the high-temperature extended polymer state, collapse transition, and the low-temperature state, which is compact or semi-compact, depending on the value of the fractal base b. We discuss the reasons for such different low--temperature behavior, as well as the possibility of establishing the RG equations beyond b=4.","publication_date":{"day":null,"month":null,"year":2002,"errors":{}},"publication_name":"arXiv: Statistical Mechanics"},"translated_abstract":"Using self-avoiding walk model on three-dimensional Sierpinski fractals (3d SF) we have studied critical properties of self-interacting linear polymers in porous environment, via exact real-space renormalization group (RG) method. We have found that RG equations for 3d SF with base b=4 are much more complicated than for the previously studied b=2 and b=3 3d SFs. Numerical analysis of these equations shows that for all considered cases there are three fixed points, corresponding to the high-temperature extended polymer state, collapse transition, and the low-temperature state, which is compact or semi-compact, depending on the value of the fractal base b. We discuss the reasons for such different low--temperature behavior, as well as the possibility of establishing the RG equations beyond b=4.","internal_url":"https://www.academia.edu/68591699/Interacting_linear_polymers_on_three_dimensional_Sierpinski_fractals","translated_internal_url":"","created_at":"2022-01-18T02:14:40.359-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":79018156,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/79018156/thumbnails/1.jpg","file_name":"0205509v1.pdf","download_url":"https://www.academia.edu/attachments/79018156/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Interacting_linear_polymers_on_three_dim.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/79018156/0205509v1-libre.pdf?1642504367=\u0026response-content-disposition=attachment%3B+filename%3DInteracting_linear_polymers_on_three_dim.pdf\u0026Expires=1732752048\u0026Signature=QVLJaFDUkaoI~SgplBO1HIKgrKPDVph7vDB3whyMXYW~UyCK~T7skuKJTMY3q44UQCT-u8vXk3eQAqsUQRhoo82jMDdkpxInokRIKp3cAvm371rrJAWijg5qwjrEqOV-QQ6Ymqd6KA-bXzvP~ySoUHXiQ~x1P6ODaBk3omH7esEnuEhwsTgbmfttKtTNdyMKa-FQPXbg2o7XJxUsEUuYfmfw2-3iok~OTWuVF5wtTBw8ZI5hiaD3lBwKsOTyvCYUHZ6lmm5ySlS9zUg4VNdgl53lRYW2m--NlgoIwqtAmq9QU8xiKdOBMnnX4tfRGITSKS4VFGqcXN2YxbsMq0bdLw__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Interacting_linear_polymers_on_three_dimensional_Sierpinski_fractals","translated_slug":"","page_count":4,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[{"id":79018156,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/79018156/thumbnails/1.jpg","file_name":"0205509v1.pdf","download_url":"https://www.academia.edu/attachments/79018156/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Interacting_linear_polymers_on_three_dim.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/79018156/0205509v1-libre.pdf?1642504367=\u0026response-content-disposition=attachment%3B+filename%3DInteracting_linear_polymers_on_three_dim.pdf\u0026Expires=1732752048\u0026Signature=QVLJaFDUkaoI~SgplBO1HIKgrKPDVph7vDB3whyMXYW~UyCK~T7skuKJTMY3q44UQCT-u8vXk3eQAqsUQRhoo82jMDdkpxInokRIKp3cAvm371rrJAWijg5qwjrEqOV-QQ6Ymqd6KA-bXzvP~ySoUHXiQ~x1P6ODaBk3omH7esEnuEhwsTgbmfttKtTNdyMKa-FQPXbg2o7XJxUsEUuYfmfw2-3iok~OTWuVF5wtTBw8ZI5hiaD3lBwKsOTyvCYUHZ6lmm5ySlS9zUg4VNdgl53lRYW2m--NlgoIwqtAmq9QU8xiKdOBMnnX4tfRGITSKS4VFGqcXN2YxbsMq0bdLw__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":300,"name":"Mathematics","url":"https://www.academia.edu/Documents/in/Mathematics"},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics"},{"id":12022,"name":"Numerical Analysis","url":"https://www.academia.edu/Documents/in/Numerical_Analysis"},{"id":494966,"name":"Renormalization Group","url":"https://www.academia.edu/Documents/in/Renormalization_Group"}],"urls":[{"id":16581791,"url":"https://arxiv.org/pdf/cond-mat/0205509v1.pdf"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="52032363"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/52032363/Exact_study_of_surface_critical_exponents_of_polymer_chains_grafted_to_adsorbing_boundary_of_fractal_lattices_embedded_in_three_dimensional_space"><img alt="Research paper thumbnail of Exact study of surface critical exponents of polymer chains grafted to adsorbing boundary of fractal lattices embedded in three-dimensional space" class="work-thumbnail" src="https://attachments.academia-assets.com/69484120/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/52032363/Exact_study_of_surface_critical_exponents_of_polymer_chains_grafted_to_adsorbing_boundary_of_fractal_lattices_embedded_in_three_dimensional_space">Exact study of surface critical exponents of polymer chains grafted to adsorbing boundary of fractal lattices embedded in three-dimensional space</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We study the adsorption problem of linear polymers, when the container of the polymer--solvent sy...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We study the adsorption problem of linear polymers, when the container of the polymer--solvent system is taken to be a member of the three dimensional Sierpinski gasket (SG) family of fractals. Members of the SG family are enumerated by an integer $b$ ($2\le b\le\infty$), and it is assumed that one side of each SG fractal is impenetrable adsorbing boundary. We calculate the critical exponents $\gamma_1, \gamma_{11}$, and $\gamma_s$ which, within the self--avoiding walk model (SAW) of polymer chain, are associated with the numbers of all possible SAWs with one, both, and no ends grafted on the adsorbing impenetrable boundary, respectively. By applying the exact renormalization group (RG) method, for $2\le b\le 4$, we have obtained specific values for these exponents, for various type of polymer conformations. We discuss their mutual relations and their relations with other critical exponents pertinent to SAWs on the SG fractals.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="e04e410f0c9d6c971afaae23f22b003f" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":69484120,"asset_id":52032363,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/69484120/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="52032363"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="52032363"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 52032363; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=52032363]").text(description); $(".js-view-count[data-work-id=52032363]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 52032363; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='52032363']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 52032363, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "e04e410f0c9d6c971afaae23f22b003f" } } $('.js-work-strip[data-work-id=52032363]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":52032363,"title":"Exact study of surface critical exponents of polymer chains grafted to adsorbing boundary of fractal lattices embedded in three-dimensional space","translated_title":"","metadata":{"abstract":"We study the adsorption problem of linear polymers, when the container of the polymer--solvent system is taken to be a member of the three dimensional Sierpinski gasket (SG) family of fractals. Members of the SG family are enumerated by an integer $b$ ($2\\le b\\le\\infty$), and it is assumed that one side of each SG fractal is impenetrable adsorbing boundary. We calculate the critical exponents $\\gamma_1, \\gamma_{11}$, and $\\gamma_s$ which, within the self--avoiding walk model (SAW) of polymer chain, are associated with the numbers of all possible SAWs with one, both, and no ends grafted on the adsorbing impenetrable boundary, respectively. By applying the exact renormalization group (RG) method, for $2\\le b\\le 4$, we have obtained specific values for these exponents, for various type of polymer conformations. We discuss their mutual relations and their relations with other critical exponents pertinent to SAWs on the SG fractals."},"translated_abstract":"We study the adsorption problem of linear polymers, when the container of the polymer--solvent system is taken to be a member of the three dimensional Sierpinski gasket (SG) family of fractals. Members of the SG family are enumerated by an integer $b$ ($2\\le b\\le\\infty$), and it is assumed that one side of each SG fractal is impenetrable adsorbing boundary. We calculate the critical exponents $\\gamma_1, \\gamma_{11}$, and $\\gamma_s$ which, within the self--avoiding walk model (SAW) of polymer chain, are associated with the numbers of all possible SAWs with one, both, and no ends grafted on the adsorbing impenetrable boundary, respectively. By applying the exact renormalization group (RG) method, for $2\\le b\\le 4$, we have obtained specific values for these exponents, for various type of polymer conformations. We discuss their mutual relations and their relations with other critical exponents pertinent to SAWs on the SG fractals.","internal_url":"https://www.academia.edu/52032363/Exact_study_of_surface_critical_exponents_of_polymer_chains_grafted_to_adsorbing_boundary_of_fractal_lattices_embedded_in_three_dimensional_space","translated_internal_url":"","created_at":"2021-09-12T13:56:15.203-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":69484120,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/69484120/thumbnails/1.jpg","file_name":"Exact_study_of_surface_critical_exponent20210912-18346-17rm7f.pdf","download_url":"https://www.academia.edu/attachments/69484120/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Exact_study_of_surface_critical_exponent.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/69484120/Exact_study_of_surface_critical_exponent20210912-18346-17rm7f.pdf?1631480240=\u0026response-content-disposition=attachment%3B+filename%3DExact_study_of_surface_critical_exponent.pdf\u0026Expires=1732752048\u0026Signature=cmc4bffLao0L-UsB7VdoqadabmWXAcv1y72wv7-7DgGQ~n7IMNup3pI8MvrLpnumKfG2BXpFBRg9H7c6ZaQpmWF2fx0g098pfzxjLNmqYoFmcTXJ7YTvKKlHCpC3XovD2Nx-oeG47IV0m6eP08JNe~l5l~ZsziHOs83wOOinMbg3wKQ5voJbeWT2IMG8HvIQ3z~myBiJZz6qEYpzj2ND~BPguuaCUBo1SpuDFmVCoNeQ2-NaJwiSS~6atAhT2ajadoF6KeTo~zA~8MsFlMMqu4dQ1cGGB4hSvGJTtup~llJCPv7NFinzErO2UhzjsRLoARclbDTOoGdf-OJY0rDtEQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Exact_study_of_surface_critical_exponents_of_polymer_chains_grafted_to_adsorbing_boundary_of_fractal_lattices_embedded_in_three_dimensional_space","translated_slug":"","page_count":15,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[{"id":69484120,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/69484120/thumbnails/1.jpg","file_name":"Exact_study_of_surface_critical_exponent20210912-18346-17rm7f.pdf","download_url":"https://www.academia.edu/attachments/69484120/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Exact_study_of_surface_critical_exponent.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/69484120/Exact_study_of_surface_critical_exponent20210912-18346-17rm7f.pdf?1631480240=\u0026response-content-disposition=attachment%3B+filename%3DExact_study_of_surface_critical_exponent.pdf\u0026Expires=1732752048\u0026Signature=cmc4bffLao0L-UsB7VdoqadabmWXAcv1y72wv7-7DgGQ~n7IMNup3pI8MvrLpnumKfG2BXpFBRg9H7c6ZaQpmWF2fx0g098pfzxjLNmqYoFmcTXJ7YTvKKlHCpC3XovD2Nx-oeG47IV0m6eP08JNe~l5l~ZsziHOs83wOOinMbg3wKQ5voJbeWT2IMG8HvIQ3z~myBiJZz6qEYpzj2ND~BPguuaCUBo1SpuDFmVCoNeQ2-NaJwiSS~6atAhT2ajadoF6KeTo~zA~8MsFlMMqu4dQ1cGGB4hSvGJTtup~llJCPv7NFinzErO2UhzjsRLoARclbDTOoGdf-OJY0rDtEQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="8051739"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/8051739/Interacting_linear_polymers_on_three_dimensional_Sierpinski_fractals"><img alt="Research paper thumbnail of Interacting linear polymers on three-dimensional Sierpinski fractals" class="work-thumbnail" src="https://attachments.academia-assets.com/34509343/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/8051739/Interacting_linear_polymers_on_three_dimensional_Sierpinski_fractals">Interacting linear polymers on three-dimensional Sierpinski fractals</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Using self-avoiding walk model on three-dimensional Sierpinski fractals (3d SF) we have studied c...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Using self-avoiding walk model on three-dimensional Sierpinski fractals (3d SF) we have studied critical properties of self-interacting linear polymers in porous environment, via exact real-space renormalization group (RG) method. We have found that RG equations for 3d SF with base b=4 are much more complicated than for the previously studied b=2 and b=3 3d SFs. Numerical analysis of these equations shows that for all considered cases there are three fixed points, corresponding to the high-temperature extended polymer state, collapse transition, and the low-temperature state, which is compact or semi-compact, depending on the value of the fractal base b. We discuss the reasons for such different low--temperature behavior, as well as the possibility of establishing the RG equations beyond b=4.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="57a751f82bf7357d7b4c4910ecacb618" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":34509343,"asset_id":8051739,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/34509343/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="8051739"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="8051739"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 8051739; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=8051739]").text(description); $(".js-view-count[data-work-id=8051739]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 8051739; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='8051739']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 8051739, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "57a751f82bf7357d7b4c4910ecacb618" } } $('.js-work-strip[data-work-id=8051739]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":8051739,"title":"Interacting linear polymers on three-dimensional Sierpinski fractals","translated_title":"","metadata":{"abstract":"Using self-avoiding walk model on three-dimensional Sierpinski fractals (3d SF) we have studied critical properties of self-interacting linear polymers in porous environment, via exact real-space renormalization group (RG) method. We have found that RG equations for 3d SF with base b=4 are much more complicated than for the previously studied b=2 and b=3 3d SFs. Numerical analysis of these equations shows that for all considered cases there are three fixed points, corresponding to the high-temperature extended polymer state, collapse transition, and the low-temperature state, which is compact or semi-compact, depending on the value of the fractal base b. We discuss the reasons for such different low--temperature behavior, as well as the possibility of establishing the RG equations beyond b=4.","publication_date":{"day":null,"month":null,"year":2002,"errors":{}}},"translated_abstract":"Using self-avoiding walk model on three-dimensional Sierpinski fractals (3d SF) we have studied critical properties of self-interacting linear polymers in porous environment, via exact real-space renormalization group (RG) method. We have found that RG equations for 3d SF with base b=4 are much more complicated than for the previously studied b=2 and b=3 3d SFs. Numerical analysis of these equations shows that for all considered cases there are three fixed points, corresponding to the high-temperature extended polymer state, collapse transition, and the low-temperature state, which is compact or semi-compact, depending on the value of the fractal base b. We discuss the reasons for such different low--temperature behavior, as well as the possibility of establishing the RG equations beyond b=4.","internal_url":"https://www.academia.edu/8051739/Interacting_linear_polymers_on_three_dimensional_Sierpinski_fractals","translated_internal_url":"","created_at":"2014-08-22T06:19:56.820-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":34509343,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/34509343/thumbnails/1.jpg","file_name":"0205509.pdf","download_url":"https://www.academia.edu/attachments/34509343/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Interacting_linear_polymers_on_three_dim.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/34509343/0205509-libre.pdf?1408713611=\u0026response-content-disposition=attachment%3B+filename%3DInteracting_linear_polymers_on_three_dim.pdf\u0026Expires=1732752048\u0026Signature=UOCnDuzipYTEGvmaYE1K-LOPb6kF~XMfvkHM2IR7I7hayVpptUDo4p7WrJdD~Y~O~zzwx519imQ4MRjbndwTM4frtW7RJsbGfgKrnRorMJgngCxK7ihQkq6hNCExYR1mG0KUA75Wa~S1ZE3K8QGjLrmyXO16JPpfOr3LtsYXKUh6nxEiFSui29-zZN8BhzMOD1kxkkVncknCWp1GzZDmYD2ToXWziiOur1drrcigBLWT75BMsR5xisx~HJojDqnhxXbiXVm~UTPNO8irHBRicjHIXwsKiNzJNjX~iZiH2PPfFabN0Z6zJBOUo~qxhcr1ZMNjjDaGfvqdtg2cZ56CKA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Interacting_linear_polymers_on_three_dimensional_Sierpinski_fractals","translated_slug":"","page_count":4,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[{"id":34509343,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/34509343/thumbnails/1.jpg","file_name":"0205509.pdf","download_url":"https://www.academia.edu/attachments/34509343/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Interacting_linear_polymers_on_three_dim.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/34509343/0205509-libre.pdf?1408713611=\u0026response-content-disposition=attachment%3B+filename%3DInteracting_linear_polymers_on_three_dim.pdf\u0026Expires=1732752048\u0026Signature=UOCnDuzipYTEGvmaYE1K-LOPb6kF~XMfvkHM2IR7I7hayVpptUDo4p7WrJdD~Y~O~zzwx519imQ4MRjbndwTM4frtW7RJsbGfgKrnRorMJgngCxK7ihQkq6hNCExYR1mG0KUA75Wa~S1ZE3K8QGjLrmyXO16JPpfOr3LtsYXKUh6nxEiFSui29-zZN8BhzMOD1kxkkVncknCWp1GzZDmYD2ToXWziiOur1drrcigBLWT75BMsR5xisx~HJojDqnhxXbiXVm~UTPNO8irHBRicjHIXwsKiNzJNjX~iZiH2PPfFabN0Z6zJBOUo~qxhcr1ZMNjjDaGfvqdtg2cZ56CKA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":12022,"name":"Numerical Analysis","url":"https://www.academia.edu/Documents/in/Numerical_Analysis"},{"id":494966,"name":"Renormalization Group","url":"https://www.academia.edu/Documents/in/Renormalization_Group"}],"urls":[{"id":3371017,"url":"http://arxiv.org/abs/cond-mat/0205509"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="8051738"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/8051738/Crossover_exponent_for_piecewise_directed_walk_adsorption_on_Sierpinski_fractals"><img alt="Research paper thumbnail of Crossover exponent for piecewise directed walk adsorption on Sierpinski fractals" class="work-thumbnail" src="https://attachments.academia-assets.com/34509341/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/8051738/Crossover_exponent_for_piecewise_directed_walk_adsorption_on_Sierpinski_fractals">Crossover exponent for piecewise directed walk adsorption on Sierpinski fractals</a></div><div class="wp-workCard_item"><span>Journal of Physics A-mathematical and General</span><span>, 1999</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We study the problem of critical adsorption of piecewise directed random walks on a boundary of f...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We study the problem of critical adsorption of piecewise directed random walks on a boundary of fractal lattices that belong to the Sierpinski gasket family. By applying the exact real space renormalization group method, we calculate the crossover exponent $\phi$, associated with the number of adsorbed steps, for the complete fractal family. We demonstrate that our results are very close to the results obtained for ordinary self-avoiding walk, and discuss the asymptotic behaviour of $\phi$ at the fractal to Euclidean lattice crossover.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="d7efdb2948bc67f60e651e40d539649e" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":34509341,"asset_id":8051738,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/34509341/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="8051738"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="8051738"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 8051738; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=8051738]").text(description); $(".js-view-count[data-work-id=8051738]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 8051738; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='8051738']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 8051738, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "d7efdb2948bc67f60e651e40d539649e" } } $('.js-work-strip[data-work-id=8051738]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":8051738,"title":"Crossover exponent for piecewise directed walk adsorption on Sierpinski fractals","translated_title":"","metadata":{"abstract":"We study the problem of critical adsorption of piecewise directed random walks on a boundary of fractal lattices that belong to the Sierpinski gasket family. By applying the exact real space renormalization group method, we calculate the crossover exponent $\\phi$, associated with the number of adsorbed steps, for the complete fractal family. We demonstrate that our results are very close to the results obtained for ordinary self-avoiding walk, and discuss the asymptotic behaviour of $\\phi$ at the fractal to Euclidean lattice crossover.","publication_date":{"day":null,"month":null,"year":1999,"errors":{}},"publication_name":"Journal of Physics A-mathematical and General"},"translated_abstract":"We study the problem of critical adsorption of piecewise directed random walks on a boundary of fractal lattices that belong to the Sierpinski gasket family. By applying the exact real space renormalization group method, we calculate the crossover exponent $\\phi$, associated with the number of adsorbed steps, for the complete fractal family. We demonstrate that our results are very close to the results obtained for ordinary self-avoiding walk, and discuss the asymptotic behaviour of $\\phi$ at the fractal to Euclidean lattice crossover.","internal_url":"https://www.academia.edu/8051738/Crossover_exponent_for_piecewise_directed_walk_adsorption_on_Sierpinski_fractals","translated_internal_url":"","created_at":"2014-08-22T06:19:50.513-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":34509341,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/34509341/thumbnails/1.jpg","file_name":"9812112.pdf","download_url":"https://www.academia.edu/attachments/34509341/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Crossover_exponent_for_piecewise_directe.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/34509341/9812112-libre.pdf?1408713606=\u0026response-content-disposition=attachment%3B+filename%3DCrossover_exponent_for_piecewise_directe.pdf\u0026Expires=1732752048\u0026Signature=fCC7KcYz-8SxGGn-oHPKv7PpTkcaacQzJCh8VKMYrBah4Px1f0WkwCAla3~euVBeYLHVpP1KRw~Q-Gn0RMmBLdfg5RE18xEKNeKiXN-6pNbyvkMs-gwxlFTmo-Ob87wyTc9sGn4uj9gld9I4pzzSSDPq7mJxMrdJYy1PkQoY4fBNd3gZdhpCOIi2j9Kn8Xgx8J4psUURvxW~B4ZwRjwBj-UsLXSogF8FjTSbFy7Sr8IhfYLjfmSMFMwEew9RH-hO8PsJFUlwPMQ4~5iZUMvRT4r2UeqZSNQH-XxgpLEZ1MDAhoLuSYNz~U3OpKhthF-xOrRWWbsDUjcGGGF0h-lK5A__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Crossover_exponent_for_piecewise_directed_walk_adsorption_on_Sierpinski_fractals","translated_slug":"","page_count":29,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[{"id":34509341,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/34509341/thumbnails/1.jpg","file_name":"9812112.pdf","download_url":"https://www.academia.edu/attachments/34509341/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Crossover_exponent_for_piecewise_directe.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/34509341/9812112-libre.pdf?1408713606=\u0026response-content-disposition=attachment%3B+filename%3DCrossover_exponent_for_piecewise_directe.pdf\u0026Expires=1732752048\u0026Signature=fCC7KcYz-8SxGGn-oHPKv7PpTkcaacQzJCh8VKMYrBah4Px1f0WkwCAla3~euVBeYLHVpP1KRw~Q-Gn0RMmBLdfg5RE18xEKNeKiXN-6pNbyvkMs-gwxlFTmo-Ob87wyTc9sGn4uj9gld9I4pzzSSDPq7mJxMrdJYy1PkQoY4fBNd3gZdhpCOIi2j9Kn8Xgx8J4psUURvxW~B4ZwRjwBj-UsLXSogF8FjTSbFy7Sr8IhfYLjfmSMFMwEew9RH-hO8PsJFUlwPMQ4~5iZUMvRT4r2UeqZSNQH-XxgpLEZ1MDAhoLuSYNz~U3OpKhthF-xOrRWWbsDUjcGGGF0h-lK5A__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"},{"id":34509340,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/34509340/thumbnails/1.jpg","file_name":"9812112.pdf","download_url":"https://www.academia.edu/attachments/34509340/download_file","bulk_download_file_name":"Crossover_exponent_for_piecewise_directe.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/34509340/9812112-libre.pdf?1408713605=\u0026response-content-disposition=attachment%3B+filename%3DCrossover_exponent_for_piecewise_directe.pdf\u0026Expires=1732752048\u0026Signature=O0elLP~5Sm65EaRkdin8HrdO9Ug3wIkM3nXAqaNFUkWkEjjF9cd1g5~3obpVmHqrSxeGKZfAcQu~ApO6LL7deXRyYjAZaXmqEGGLpK3qCpqmnIrNVT8ZQ6-ZSyXaQ~sgkYfBK22b5m4XEv5eJWb1eG7hsc5PkA45D52ig0POXepE~Lu6cbxrIjgWDSqKXe39zSwRi8kvKGoDaDy9u0VpYP9jS-bMWigXcgsdb6ulqdAyqbt3ypofcFc1nWcZqbs-OKDnrpQNERq1vQz175h0mCPdIdFx1Oyur7QY9xTi5fFl2mkCtfZUPmNz0U1cHXTnTYELb2Dxdcnv-YYb77AraQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences"},{"id":118582,"name":"Physical sciences","url":"https://www.academia.edu/Documents/in/Physical_sciences"}],"urls":[{"id":3371016,"url":"http://arxiv.org/abs/cond-mat/9812112"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="8051737"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/8051737/Critical_behavior_of_the_system_of_two_crossing_self_avoiding_walks_on_a_family_of_three_dimensional_fractal_lattices"><img alt="Research paper thumbnail of Critical behavior of the system of two crossing self-avoiding walks on a family of three-dimensional fractal lattices" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/8051737/Critical_behavior_of_the_system_of_two_crossing_self_avoiding_walks_on_a_family_of_three_dimensional_fractal_lattices">Critical behavior of the system of two crossing self-avoiding walks on a family of three-dimensional fractal lattices</a></div><div class="wp-workCard_item"><span>Chaos Solitons & Fractals</span><span>, 2009</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">ABSTRACT We study the polymer system consisting of two-polymer chains situated in a fractal conta...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">ABSTRACT We study the polymer system consisting of two-polymer chains situated in a fractal container that belongs to the three-dimensional Sierpinski Gasket (3D SG) family of fractals. The two-polymer system is modeled by two interacting self-avoiding walks (SAW) immersed in a good solvent. To conceive the inter-chain interactions we apply the model of two crossing self-avoiding walks (CSAW) in which the chains can cross each other. By applying renormalization group (RG) method, we establish the relevant phase diagrams for b=2 and b=3 members of the 3D SG fractal family. Also, at the appropriate transition fixed points we calculate the contact critical exponents φ, associated with the number of contacts between monomers of different chains. For larger b(2⩽b⩽30) we apply Monte Carlo renormalization group (MCRG) method, and compare the obtained results for φ with phenomenological proposals for the contact critical exponent, as well as with results obtained for other similar models of two-polymer system.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="8051737"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="8051737"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 8051737; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=8051737]").text(description); $(".js-view-count[data-work-id=8051737]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 8051737; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='8051737']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 8051737, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=8051737]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":8051737,"title":"Critical behavior of the system of two crossing self-avoiding walks on a family of three-dimensional fractal lattices","translated_title":"","metadata":{"abstract":"ABSTRACT We study the polymer system consisting of two-polymer chains situated in a fractal container that belongs to the three-dimensional Sierpinski Gasket (3D SG) family of fractals. The two-polymer system is modeled by two interacting self-avoiding walks (SAW) immersed in a good solvent. To conceive the inter-chain interactions we apply the model of two crossing self-avoiding walks (CSAW) in which the chains can cross each other. By applying renormalization group (RG) method, we establish the relevant phase diagrams for b=2 and b=3 members of the 3D SG fractal family. Also, at the appropriate transition fixed points we calculate the contact critical exponents φ, associated with the number of contacts between monomers of different chains. For larger b(2⩽b⩽30) we apply Monte Carlo renormalization group (MCRG) method, and compare the obtained results for φ with phenomenological proposals for the contact critical exponent, as well as with results obtained for other similar models of two-polymer system.","publication_date":{"day":null,"month":null,"year":2009,"errors":{}},"publication_name":"Chaos Solitons \u0026 Fractals"},"translated_abstract":"ABSTRACT We study the polymer system consisting of two-polymer chains situated in a fractal container that belongs to the three-dimensional Sierpinski Gasket (3D SG) family of fractals. The two-polymer system is modeled by two interacting self-avoiding walks (SAW) immersed in a good solvent. To conceive the inter-chain interactions we apply the model of two crossing self-avoiding walks (CSAW) in which the chains can cross each other. By applying renormalization group (RG) method, we establish the relevant phase diagrams for b=2 and b=3 members of the 3D SG fractal family. Also, at the appropriate transition fixed points we calculate the contact critical exponents φ, associated with the number of contacts between monomers of different chains. For larger b(2⩽b⩽30) we apply Monte Carlo renormalization group (MCRG) method, and compare the obtained results for φ with phenomenological proposals for the contact critical exponent, as well as with results obtained for other similar models of two-polymer system.","internal_url":"https://www.academia.edu/8051737/Critical_behavior_of_the_system_of_two_crossing_self_avoiding_walks_on_a_family_of_three_dimensional_fractal_lattices","translated_internal_url":"","created_at":"2014-08-22T06:19:43.146-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Critical_behavior_of_the_system_of_two_crossing_self_avoiding_walks_on_a_family_of_three_dimensional_fractal_lattices","translated_slug":"","page_count":null,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering"},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences"}],"urls":[{"id":3371015,"url":"http://www.sciencedirect.com/science/article/pii/S096007790800502X"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="8051736"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/8051736/Comment_on_Critical_behavior_of_the_chain_generating_function_of_self_avoiding_walks_on_the_Sierpinski_gasket_family_The_Euclidean_limit"><img alt="Research paper thumbnail of Comment on ``Critical behavior of the chain--generating function of self--avoiding walks on the Sierpinski gasket family: The Euclidean limit" class="work-thumbnail" src="https://attachments.academia-assets.com/34509338/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/8051736/Comment_on_Critical_behavior_of_the_chain_generating_function_of_self_avoiding_walks_on_the_Sierpinski_gasket_family_The_Euclidean_limit">Comment on ``Critical behavior of the chain--generating function of self--avoiding walks on the Sierpinski gasket family: The Euclidean limit</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We refute the claims made by Riera and Chalub [Phys.Rev.E {\bf 58}, 4001 (1998)] by demonstrating...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We refute the claims made by Riera and Chalub [Phys.Rev.E {\bf 58}, 4001 (1998)] by demonstrating that they have not provided enough data (requisite in their series expansion method) to draw reliable conclusions about criticality of self-avoiding walks on the Sierpinski gasket family of fractals.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="1a9b2a20af8fa0e47151675aa83908a8" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":34509338,"asset_id":8051736,"asset_type":"Work","button_location":"profile"}" 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fractals.","internal_url":"https://www.academia.edu/8051736/Comment_on_Critical_behavior_of_the_chain_generating_function_of_self_avoiding_walks_on_the_Sierpinski_gasket_family_The_Euclidean_limit","translated_internal_url":"","created_at":"2014-08-22T06:19:43.035-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":34509338,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/34509338/thumbnails/1.jpg","file_name":"9812399.pdf","download_url":"https://www.academia.edu/attachments/34509338/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Comment_on_Critical_behavior_of_the_chai.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/34509338/9812399-libre.pdf?1408713605=\u0026response-content-disposition=attachment%3B+filename%3DComment_on_Critical_behavior_of_the_chai.pdf\u0026Expires=1732752049\u0026Signature=JkLUhs2K-F6-84OdK57EeVMVwlHWEr88F30RgP8lceoi~f0A9jREvfoLD3qr8lHWyz4I9pP74No6G-pnR5s7fR~uX6owBOgAFTc0xdp1kr5qn095UjI~zm4qtE9A-0eOiEEnmx-TuMtasaxKDaBPHlgc1FhQwWTp8yPM-K9TQjd5x2yiF2K98p3kqnS3shtd1U93YffgmjekuzycDajF25iVBSXLL5h8kJ9UzPSOdXQdC125Vsy93WTaxKeJIM7Oa6nlp9zL~yETmZuDi4F4TktfT7JHjP21Ct2DI-qzZMqBJTqUzvI04KEcww3zb03UbflSmqwVlbnffTcYnDavRQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Comment_on_Critical_behavior_of_the_chain_generating_function_of_self_avoiding_walks_on_the_Sierpinski_gasket_family_The_Euclidean_limit","translated_slug":"","page_count":11,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica 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Avoiding Walk","url":"https://www.academia.edu/Documents/in/Self_Avoiding_Walk"},{"id":1627143,"name":"Sierpinski gasket","url":"https://www.academia.edu/Documents/in/Sierpinski_gasket"},{"id":2516454,"name":"Generating Function","url":"https://www.academia.edu/Documents/in/Generating_Function"}],"urls":[{"id":3371014,"url":"http://arxiv.org/abs/cond-mat/9812399"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="8051735"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/8051735/Stiffness_dependence_of_critical_exponents_of_semiflexible_polymer_chains_situated_on_two_dimensional_compact_fractals"><img alt="Research paper thumbnail of Stiffness dependence of critical exponents of semiflexible polymer chains situated on two-dimensional compact fractals" class="work-thumbnail" src="https://attachments.academia-assets.com/48239490/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/8051735/Stiffness_dependence_of_critical_exponents_of_semiflexible_polymer_chains_situated_on_two_dimensional_compact_fractals">Stiffness dependence of critical exponents of semiflexible polymer chains situated on two-dimensional compact fractals</a></div><div class="wp-workCard_item"><span>Physical Review E</span><span>, 2009</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We present an exact and Monte Carlo renormalization group (MCRG) study of semiflexible polymer ch...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We present an exact and Monte Carlo renormalization group (MCRG) study of semiflexible polymer chains on an infinite family of the plane-filling (PF) fractals. The fractals are compact, that is, their fractal dimension df is equal to 2 for all members of the fractal family enumerated by the odd integer b(3≤b<∞) . For various values of stiffness parameter s of the chain, on the PF fractals (for 3≤b≤9 ), we calculate exactly the critical exponents ν (associated with the mean squared end-to-end distances of polymer chain) and γ (associated with the total number of different polymer chains). In addition, we calculate ν and γ through the MCRG approach for b up to 201. Our results show that for each particular b , critical exponents are stiffness dependent functions, in such a way that the stiffer polymer chains (with smaller values of s ) display enlarged values of ν , and diminished values of γ . On the other hand, for any specific s , the critical exponent ν monotonically decreases, whereas the critical exponent γ monotonically increases, with the scaling parameter b . We reflect on a possible relevance of the criticality of semiflexible polymer chains on the PF family of fractals to the same problem on the regular Euclidean lattices.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="e3864ca8557ace01c8c76f4c5bfb6637" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":48239490,"asset_id":8051735,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/48239490/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="8051735"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="8051735"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 8051735; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=8051735]").text(description); $(".js-view-count[data-work-id=8051735]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 8051735; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='8051735']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 8051735, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "e3864ca8557ace01c8c76f4c5bfb6637" } } $('.js-work-strip[data-work-id=8051735]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":8051735,"title":"Stiffness dependence of critical exponents of semiflexible polymer chains situated on two-dimensional compact fractals","translated_title":"","metadata":{"abstract":"We present an exact and Monte Carlo renormalization group (MCRG) study of semiflexible polymer chains on an infinite family of the plane-filling (PF) fractals. The fractals are compact, that is, their fractal dimension df is equal to 2 for all members of the fractal family enumerated by the odd integer b(3≤b\u003c∞) . For various values of stiffness parameter s of the chain, on the PF fractals (for 3≤b≤9 ), we calculate exactly the critical exponents ν (associated with the mean squared end-to-end distances of polymer chain) and γ (associated with the total number of different polymer chains). In addition, we calculate ν and γ through the MCRG approach for b up to 201. Our results show that for each particular b , critical exponents are stiffness dependent functions, in such a way that the stiffer polymer chains (with smaller values of s ) display enlarged values of ν , and diminished values of γ . On the other hand, for any specific s , the critical exponent ν monotonically decreases, whereas the critical exponent γ monotonically increases, with the scaling parameter b . We reflect on a possible relevance of the criticality of semiflexible polymer chains on the PF family of fractals to the same problem on the regular Euclidean lattices.","publication_date":{"day":null,"month":null,"year":2009,"errors":{}},"publication_name":"Physical Review E"},"translated_abstract":"We present an exact and Monte Carlo renormalization group (MCRG) study of semiflexible polymer chains on an infinite family of the plane-filling (PF) fractals. The fractals are compact, that is, their fractal dimension df is equal to 2 for all members of the fractal family enumerated by the odd integer b(3≤b\u003c∞) . For various values of stiffness parameter s of the chain, on the PF fractals (for 3≤b≤9 ), we calculate exactly the critical exponents ν (associated with the mean squared end-to-end distances of polymer chain) and γ (associated with the total number of different polymer chains). In addition, we calculate ν and γ through the MCRG approach for b up to 201. Our results show that for each particular b , critical exponents are stiffness dependent functions, in such a way that the stiffer polymer chains (with smaller values of s ) display enlarged values of ν , and diminished values of γ . On the other hand, for any specific s , the critical exponent ν monotonically decreases, whereas the critical exponent γ monotonically increases, with the scaling parameter b . We reflect on a possible relevance of the criticality of semiflexible polymer chains on the PF family of fractals to the same problem on the regular Euclidean lattices.","internal_url":"https://www.academia.edu/8051735/Stiffness_dependence_of_critical_exponents_of_semiflexible_polymer_chains_situated_on_two_dimensional_compact_fractals","translated_internal_url":"","created_at":"2014-08-22T06:19:42.892-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":48239490,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/48239490/thumbnails/1.jpg","file_name":"0907.3107.pdf","download_url":"https://www.academia.edu/attachments/48239490/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Stiffness_dependence_of_critical_exponen.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/48239490/0907.3107-libre.pdf?1471905490=\u0026response-content-disposition=attachment%3B+filename%3DStiffness_dependence_of_critical_exponen.pdf\u0026Expires=1732752049\u0026Signature=SvqNL1f6-7rSji3WCuQpNYKOTEcMZZde3X7siUG3y4KbwvJbfvuYpBJZSJlwkg08GoNyv6Lmu-j3zQSSlINx43ei14PlootuS3t6guOKUgE9iBmbCEvozYXI41zeXzJ23P0yporDpnfVv3D4G~H89suQtUEZEeZdAQwqXLMbbcwpTAJa7BD3csD6rrt9x9WkAdhada0FjWXiXOkLLNREdroH0S2VEt2vGVoolZb7Ea3A~JhIOkbeIIc~pyI8awi7RupzRMN8JLcHTgFbG36h5UkPO2Mg~GXFt6spoor5bg~Tnn~3nwqpzTruGPYvARiDRg2YrR6ykefO7-YcJsAaaQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Stiffness_dependence_of_critical_exponents_of_semiflexible_polymer_chains_situated_on_two_dimensional_compact_fractals","translated_slug":"","page_count":22,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[{"id":48239490,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/48239490/thumbnails/1.jpg","file_name":"0907.3107.pdf","download_url":"https://www.academia.edu/attachments/48239490/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Stiffness_dependence_of_critical_exponen.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/48239490/0907.3107-libre.pdf?1471905490=\u0026response-content-disposition=attachment%3B+filename%3DStiffness_dependence_of_critical_exponen.pdf\u0026Expires=1732752049\u0026Signature=SvqNL1f6-7rSji3WCuQpNYKOTEcMZZde3X7siUG3y4KbwvJbfvuYpBJZSJlwkg08GoNyv6Lmu-j3zQSSlINx43ei14PlootuS3t6guOKUgE9iBmbCEvozYXI41zeXzJ23P0yporDpnfVv3D4G~H89suQtUEZEeZdAQwqXLMbbcwpTAJa7BD3csD6rrt9x9WkAdhada0FjWXiXOkLLNREdroH0S2VEt2vGVoolZb7Ea3A~JhIOkbeIIc~pyI8awi7RupzRMN8JLcHTgFbG36h5UkPO2Mg~GXFt6spoor5bg~Tnn~3nwqpzTruGPYvARiDRg2YrR6ykefO7-YcJsAaaQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering"},{"id":21466,"name":"Polymers","url":"https://www.academia.edu/Documents/in/Polymers"},{"id":24831,"name":"Fractals","url":"https://www.academia.edu/Documents/in/Fractals"},{"id":69542,"name":"Computer Simulation","url":"https://www.academia.edu/Documents/in/Computer_Simulation"},{"id":78086,"name":"Random Walk","url":"https://www.academia.edu/Documents/in/Random_Walk"},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences"},{"id":118582,"name":"Physical sciences","url":"https://www.academia.edu/Documents/in/Physical_sciences"},{"id":494966,"name":"Renormalization Group","url":"https://www.academia.edu/Documents/in/Renormalization_Group"},{"id":586110,"name":"Elastic Modulus","url":"https://www.academia.edu/Documents/in/Elastic_Modulus"},{"id":890611,"name":"Fractal Dimension","url":"https://www.academia.edu/Documents/in/Fractal_Dimension"},{"id":954642,"name":"Levy Flight","url":"https://www.academia.edu/Documents/in/Levy_Flight"},{"id":1333436,"name":"Monte Carlo Method","url":"https://www.academia.edu/Documents/in/Monte_Carlo_Method"}],"urls":[{"id":3371013,"url":"http://adsabs.harvard.edu/abs/2009PhRvE..80f1131Z"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="8051734"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/8051734/Comment_on_Critical_behavior_of_the_chain_generating_function_of_self_avoiding_walks_on_the_Sierpinski_gasket_family_The_Euclidean_limit"><img alt="Research paper thumbnail of Comment on ``Critical behavior of the chain-generating function of self-avoiding walks on the Sierpinski gasket family: The Euclidean limit" class="work-thumbnail" src="https://attachments.academia-assets.com/48239509/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/8051734/Comment_on_Critical_behavior_of_the_chain_generating_function_of_self_avoiding_walks_on_the_Sierpinski_gasket_family_The_Euclidean_limit">Comment on ``Critical behavior of the chain-generating function of self-avoiding walks on the Sierpinski gasket family: The Euclidean limit</a></div><div class="wp-workCard_item"><span>Physical Review E</span><span>, 2000</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We refute the claims made by Riera and Chalub [Phys. Rev. E 58, 4001 (1998)] by demonstrating tha...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We refute the claims made by Riera and Chalub [Phys. Rev. E 58, 4001 (1998)] by demonstrating that they have not provided enough data (requisite in their series expansion method) to draw reliable conclusions about criticality of self-avoiding walks on the Sierpinski gasket family of fractals.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="5e1cac5f7c2da8c673e7819168f5f5d9" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":48239509,"asset_id":8051734,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/48239509/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="8051734"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="8051734"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 8051734; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=8051734]").text(description); $(".js-view-count[data-work-id=8051734]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 8051734; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='8051734']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 8051734, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "5e1cac5f7c2da8c673e7819168f5f5d9" } } $('.js-work-strip[data-work-id=8051734]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":8051734,"title":"Comment on ``Critical behavior of the chain-generating function of self-avoiding walks on the Sierpinski gasket family: The Euclidean limit","translated_title":"","metadata":{"abstract":"We refute the claims made by Riera and Chalub [Phys. 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E 58, 4001 (1998)] by demonstrating that they have not provided enough data (requisite in their series expansion method) to draw reliable conclusions about criticality of self-avoiding walks on the Sierpinski gasket family of fractals.","internal_url":"https://www.academia.edu/8051734/Comment_on_Critical_behavior_of_the_chain_generating_function_of_self_avoiding_walks_on_the_Sierpinski_gasket_family_The_Euclidean_limit","translated_internal_url":"","created_at":"2014-08-22T06:19:42.764-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15510184,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":48239509,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/48239509/thumbnails/1.jpg","file_name":"Comment_on_Critical_behavior_of_the_chai20160822-7464-ac1h8m.pdf","download_url":"https://www.academia.edu/attachments/48239509/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Comment_on_Critical_behavior_of_the_chai.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/48239509/Comment_on_Critical_behavior_of_the_chai20160822-7464-ac1h8m-libre.pdf?1471905488=\u0026response-content-disposition=attachment%3B+filename%3DComment_on_Critical_behavior_of_the_chai.pdf\u0026Expires=1732752049\u0026Signature=XQZlDOGjfX6XZIwl1~h0~~Fah-iYM-ZTQRD-X4p5xkrV7JWsDZpb3mQXdd57PCnCEuVteFWPYxdf1zdfyV8ruddMUktGpOdd6wCEp99gs4vygdzT4HT587vVCgTAJYeKI7gQzLc9FX3fzrmsaSRwRbDidLjsrpMgLLs40tiNqmwynfLPWbIO6PQXXYrOlER8ljDtjX~mHRkk-gWESnqUiroLx0qwwRUy3rORQyaxC3h6uXxUy1cxN2ZkjgPjolnDobrs1ZxpGmMritCxbChNNBBgkDiFXtFMNbaMKrryb8TwAujDY~N4GL~fbefDS0IJjjt46Qm1lL-glEplzG~Iog__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Comment_on_Critical_behavior_of_the_chain_generating_function_of_self_avoiding_walks_on_the_Sierpinski_gasket_family_The_Euclidean_limit","translated_slug":"","page_count":11,"language":"en","content_type":"Work","owner":{"id":15510184,"first_name":"Suncica","middle_initials":null,"last_name":"Elezovic-Hadzic","page_name":"SuncicaElezovicHadzic","domain_name":"bg","created_at":"2014-08-22T06:18:25.589-07:00","display_name":"Suncica Elezovic-Hadzic","url":"https://bg.academia.edu/SuncicaElezovicHadzic"},"attachments":[{"id":48239509,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/48239509/thumbnails/1.jpg","file_name":"Comment_on_Critical_behavior_of_the_chai20160822-7464-ac1h8m.pdf","download_url":"https://www.academia.edu/attachments/48239509/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Comment_on_Critical_behavior_of_the_chai.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/48239509/Comment_on_Critical_behavior_of_the_chai20160822-7464-ac1h8m-libre.pdf?1471905488=\u0026response-content-disposition=attachment%3B+filename%3DComment_on_Critical_behavior_of_the_chai.pdf\u0026Expires=1732752049\u0026Signature=XQZlDOGjfX6XZIwl1~h0~~Fah-iYM-ZTQRD-X4p5xkrV7JWsDZpb3mQXdd57PCnCEuVteFWPYxdf1zdfyV8ruddMUktGpOdd6wCEp99gs4vygdzT4HT587vVCgTAJYeKI7gQzLc9FX3fzrmsaSRwRbDidLjsrpMgLLs40tiNqmwynfLPWbIO6PQXXYrOlER8ljDtjX~mHRkk-gWESnqUiroLx0qwwRUy3rORQyaxC3h6uXxUy1cxN2ZkjgPjolnDobrs1ZxpGmMritCxbChNNBBgkDiFXtFMNbaMKrryb8TwAujDY~N4GL~fbefDS0IJjjt46Qm1lL-glEplzG~Iog__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":1278668,"name":"Self Avoiding Walk","url":"https://www.academia.edu/Documents/in/Self_Avoiding_Walk"},{"id":1627143,"name":"Sierpinski gasket","url":"https://www.academia.edu/Documents/in/Sierpinski_gasket"},{"id":2516454,"name":"Generating Function","url":"https://www.academia.edu/Documents/in/Generating_Function"}],"urls":[{"id":3371012,"url":"http://adsabs.harvard.edu/abs/2000PhRvE..61.2141M"}]}, dispatcherData: dispatcherData }); 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="8051732"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/8051732/Piecewise_directed_random_walk_on_the_Sierpinski_gasket_family_of_fractals"><img alt="Research paper thumbnail of Piecewise directed random walk on the Sierpinski gasket family of fractals" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/8051732/Piecewise_directed_random_walk_on_the_Sierpinski_gasket_family_of_fractals">Piecewise directed random walk on the Sierpinski gasket family of fractals</a></div><div class="wp-workCard_item"><span>Physics Letters A</span><span>, 1989</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="8051732"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="8051732"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 8051732; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="8051731"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/8051731/Statistics_of_semiflexible_self_avoiding_trails_on_a_family_of_two_dimensional_compact_fractals"><img alt="Research paper thumbnail of Statistics of semiflexible self-avoiding trails on a family of two-dimensional compact fractals" class="work-thumbnail" src="https://attachments.academia-assets.com/48239516/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/8051731/Statistics_of_semiflexible_self_avoiding_trails_on_a_family_of_two_dimensional_compact_fractals">Statistics of semiflexible self-avoiding trails on a family of two-dimensional compact fractals</a></div><div class="wp-workCard_item"><span>Journal of Statistical Mechanics-theory and Experiment</span><span>, 2011</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We have applied the exact and Monte Carlo renormalization group (MCRG) method to study the statis...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We have applied the exact and Monte Carlo renormalization group (MCRG) method to study the statistics of semiflexible self-avoiding trails (SATs) on the family of plane-filling (PF) fractals. Each fractal of the family is compact, that is, the fractal dimension df is equal to 2 for all members of the PF family, which are enumerated by an odd integer b, 3\le b\lt \infty . Varying values of the stiffness parameter s of trails from 1 to 0 (so that when s decreases the trail stiffness increases) we calculate exactly (for 3 <= b <= 7) and through the MCRG approach (for b <= 201) the sets of the critical exponents ν (associated with the mean squared end-to-end distances of SATs) and γ (associated with the total number of different SATs). Our results show that critical exponents are stiffness dependent functions, so that ν(s) is a monotonically decreasing function of s, for each studied b, whereas γ(s) displays a non-monotonic behavior for some values of b. On the other hand, by fixing the stiffness parameter s, our results show clearly that for highly flexible trails (with s = 1 and 0.9) ν is a non-monotonic function of b, while for stiffer SATs (with s <= 0.7) ν monotonically decreases with b. We also show that γ(b) increases with increasing b, independently of s. Finally, we compare the obtained SAT data with those obtained for the semiflexible self-avoiding walk (SAW) model on the same fractal family, and for both models we discuss behavior of the studied exponents in the fractal-to-Euclidean crossover region b\to \infty .</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="86b6a79b4b212a056935ca696d6560b8" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":48239516,"asset_id":8051731,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/48239516/download_file?st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&st=MTczMjc0ODQ0OSw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="8051731"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="8051731"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 8051731; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=8051731]").text(description); $(".js-view-count[data-work-id=8051731]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 8051731; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='8051731']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 8051731, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "86b6a79b4b212a056935ca696d6560b8" } } $('.js-work-strip[data-work-id=8051731]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":8051731,"title":"Statistics of semiflexible self-avoiding trails on a family of two-dimensional compact fractals","translated_title":"","metadata":{"abstract":"We have applied the exact and Monte Carlo renormalization group (MCRG) method to study the statistics of semiflexible self-avoiding trails (SATs) on the family of plane-filling (PF) fractals. 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