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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/30169127/Multiple_phase_transitions_of_the_susceptible_infected_susceptible_epidemic_model_on_complex_networks">Multiple phase transitions of the susceptible-infected-susceptible epidemic model on complex networks</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The epidemic threshold of the susceptible-infected-susceptible (SIS) dynamics on random networks ...</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">The epidemic threshold of the susceptible-infected-susceptible (SIS) dynamics on random networks having a power law degree distribution with exponent $\gamma>3$ has been investigated using different mean-field approaches, which predict different outcomes. We performed extensive simulations in the quasistationary state for a comparison with these mean-field theories. We observed concomitant multiple transitions in individual networks presenting large gaps in the degree distribution and the obtained multiple epidemic thresholds are well described by different mean-field theories. We observed that the transitions involving thresholds which vanishes at the thermodynamic limit involve localized states, in which a vanishing fraction of the network effectively contribute to epidemic activity, whereas an endemic state, with a finite density of infected vertices, occurs at a finite threshold. The multiple transitions are related to the activations of distinct sub-domains of the network, which are not directly connected.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="a787a06b1df9a6dfaa396e61f8b8c2d3" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":50626361,"asset_id":30169127,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/50626361/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&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="30169127"><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="30169127"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 30169127; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=30169127]").text(description); $(".js-view-count[data-work-id=30169127]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 30169127; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='30169127']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 30169127, 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: "a787a06b1df9a6dfaa396e61f8b8c2d3" } } $('.js-work-strip[data-work-id=30169127]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":30169127,"title":"Multiple phase transitions of the susceptible-infected-susceptible epidemic model on complex networks","translated_title":"","metadata":{"abstract":"The epidemic threshold of the susceptible-infected-susceptible (SIS) dynamics on random networks having a power law degree distribution with exponent $\\gamma\u003e3$ has been investigated using different mean-field approaches, which predict different outcomes. We performed extensive simulations in the quasistationary state for a comparison with these mean-field theories. We observed concomitant multiple transitions in individual networks presenting large gaps in the degree distribution and the obtained multiple epidemic thresholds are well described by different mean-field theories. We observed that the transitions involving thresholds which vanishes at the thermodynamic limit involve localized states, in which a vanishing fraction of the network effectively contribute to epidemic activity, whereas an endemic state, with a finite density of infected vertices, occurs at a finite threshold. The multiple transitions are related to the activations of distinct sub-domains of the network, which are not directly connected.","publication_date":{"day":26,"month":3,"year":2014,"errors":{}}},"translated_abstract":"The epidemic threshold of the susceptible-infected-susceptible (SIS) dynamics on random networks having a power law degree distribution with exponent $\\gamma\u003e3$ has been investigated using different mean-field approaches, which predict different outcomes. We performed extensive simulations in the quasistationary state for a comparison with these mean-field theories. We observed concomitant multiple transitions in individual networks presenting large gaps in the degree distribution and the obtained multiple epidemic thresholds are well described by different mean-field theories. We observed that the transitions involving thresholds which vanishes at the thermodynamic limit involve localized states, in which a vanishing fraction of the network effectively contribute to epidemic activity, whereas an endemic state, with a finite density of infected vertices, occurs at a finite threshold. The multiple transitions are related to the activations of distinct sub-domains of the network, which are not directly connected.","internal_url":"https://www.academia.edu/30169127/Multiple_phase_transitions_of_the_susceptible_infected_susceptible_epidemic_model_on_complex_networks","translated_internal_url":"","created_at":"2016-11-29T21:23:48.281-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15839788,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[{"id":26289472,"work_id":30169127,"tagging_user_id":15839788,"tagged_user_id":null,"co_author_invite_id":5799771,"email":"s***a@unila.edu.br","display_order":0,"name":"Silvio Ferreira","title":"Multiple phase transitions of the susceptible-infected-susceptible epidemic model on complex networks"}],"downloadable_attachments":[{"id":50626361,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/50626361/thumbnails/1.jpg","file_name":"1403.6670.pdf","download_url":"https://www.academia.edu/attachments/50626361/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Multiple_phase_transitions_of_the_suscep.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/50626361/1403.6670-libre.pdf?1480484177=\u0026response-content-disposition=attachment%3B+filename%3DMultiple_phase_transitions_of_the_suscep.pdf\u0026Expires=1732809784\u0026Signature=Iz0F99bkEvupL~bjJki3cITzRleFW9WmrTuKp0XQdf5xUo7JUFDGgzmV3j2mvPbl7~GrA3N-3CPDNi7xbqONJ2SRCGIaKvtL0B1ItAToPy~qFEW92KzCglqnvvNroY3rGDY0KUsSkfL7Wghi6~ACidffuQDGEcdwc0vQgu0YYM89bvQFIuye-H~s8JP3SpmCxlVOW-YNukbHOIHFq4ApvRSMw4TMqbzXqxZyXzy0htLMccOrvNXx8bc3n3xdwDW9CZBxVY31~Khqhvgo896Jw9zBY~1EU8Rs~EMWVvndiZkDjjpWmrddXBJQSyF95WPfyYmfFgXzUZhGDwqTKxJ32A__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Multiple_phase_transitions_of_the_susceptible_infected_susceptible_epidemic_model_on_complex_networks","translated_slug":"","page_count":10,"language":"en","content_type":"Work","owner":{"id":15839788,"first_name":"Angelica","middle_initials":null,"last_name":"Mata","page_name":"AngelicaMata","domain_name":"dwcc","created_at":"2014-08-30T11:46:33.268-07:00","display_name":"Angelica Mata","url":"https://dwcc.academia.edu/AngelicaMata"},"attachments":[{"id":50626361,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/50626361/thumbnails/1.jpg","file_name":"1403.6670.pdf","download_url":"https://www.academia.edu/attachments/50626361/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Multiple_phase_transitions_of_the_suscep.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/50626361/1403.6670-libre.pdf?1480484177=\u0026response-content-disposition=attachment%3B+filename%3DMultiple_phase_transitions_of_the_suscep.pdf\u0026Expires=1732809784\u0026Signature=Iz0F99bkEvupL~bjJki3cITzRleFW9WmrTuKp0XQdf5xUo7JUFDGgzmV3j2mvPbl7~GrA3N-3CPDNi7xbqONJ2SRCGIaKvtL0B1ItAToPy~qFEW92KzCglqnvvNroY3rGDY0KUsSkfL7Wghi6~ACidffuQDGEcdwc0vQgu0YYM89bvQFIuye-H~s8JP3SpmCxlVOW-YNukbHOIHFq4ApvRSMw4TMqbzXqxZyXzy0htLMccOrvNXx8bc3n3xdwDW9CZBxVY31~Khqhvgo896Jw9zBY~1EU8Rs~EMWVvndiZkDjjpWmrddXBJQSyF95WPfyYmfFgXzUZhGDwqTKxJ32A__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[],"urls":[{"id":7781058,"url":"http://arxiv.org/abs/1403.6670"}]}, dispatcherData: dispatcherData }); 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Rev. Lett. 111, 068701 (2013)]. Here, we present a detailed analysis of the viability of this method for the study of the critical properties of generic absorbing-state phase transitions in lattices. Focusing on the well understood case of the contact process, we develop a finite-size scaling theory to measure the critical point and its associated critical exponents. We show the validity of the method by studying numerically the contact process on a one-dimensional lattice and comparing the findings of the lifespan method with the standard quasi-stationary method. We find that the lifespan method gives results that are perfectly compatible with those of quasi-stationary simulations and with analytical results. Our observations confirm that the lifespan method is a fully legitimate tool for the study of the critical properties of absorbing phase-transitions in general substrates, either random or regular.","publication_date":{"day":21,"month":11,"year":2014,"errors":{}},"grobid_abstract_attachment_id":50626381},"translated_abstract":null,"internal_url":"https://www.academia.edu/30169126/The_lifespan_method_as_a_tool_to_study_criticality_in_absorbing_state_phase_transitions","translated_internal_url":"","created_at":"2016-11-29T21:23:48.187-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15839788,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[{"id":26289457,"work_id":30169126,"tagging_user_id":15839788,"tagged_user_id":null,"co_author_invite_id":961926,"email":"m***a@ub.edu","display_order":0,"name":"Maria虂n Bogun虄a虂","title":"The lifespan method as a tool to study criticality in absorbing-state phase transitions"},{"id":26289459,"work_id":30169126,"tagging_user_id":15839788,"tagged_user_id":null,"co_author_invite_id":4144187,"email":"c***o@uniud.it","display_order":4194304,"name":"Claudio Castellano","title":"The lifespan method as a tool to study criticality in absorbing-state phase transitions"},{"id":26289461,"work_id":30169126,"tagging_user_id":15839788,"tagged_user_id":2501883,"co_author_invite_id":null,"email":"m***a@gmail.com","affiliation":"Universitat de Barcelona","display_order":6291456,"name":"Marian Boguna","title":"The lifespan method as a tool to study criticality in absorbing-state phase transitions"},{"id":26289465,"work_id":30169126,"tagging_user_id":15839788,"tagged_user_id":null,"co_author_invite_id":1836813,"email":"r***r@upc.edu","display_order":7340032,"name":"Romualdo Pastor-Satorras","title":"The lifespan method as a tool to study criticality in absorbing-state phase transitions"}],"downloadable_attachments":[{"id":50626381,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/50626381/thumbnails/1.jpg","file_name":"The_lifespan_method_as_a_tool_to_study_c20161129-23083-c24fwz.pdf","download_url":"https://www.academia.edu/attachments/50626381/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"The_lifespan_method_as_a_tool_to_study_c.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/50626381/The_lifespan_method_as_a_tool_to_study_c20161129-23083-c24fwz-libre.pdf?1480484164=\u0026response-content-disposition=attachment%3B+filename%3DThe_lifespan_method_as_a_tool_to_study_c.pdf\u0026Expires=1732809784\u0026Signature=IMP81lNqTYG2L2mbnDfohGN-1zfRWyJqHvKDtttfCyjqgUlkjq0~9mH~x91bjNVdKCZ9oVBw6VQJz2EbW1pqLEbFftol0q3XP~o56G9Upl-1WKu1eDrOV2oH8tmRXEulJC4yXTFTohxgSt~10HUWEcz0M4vDwe~sH1Ar1guxqtL-5vJW27jF5AVNX44IX3azrFqnv1Kkw3hZNsik9iqdRirdnXyxAV6A6LWu~s3UNlubRgSvts-vwEE20kv~vfGLe2RouZuibfuvZw9ssp9Dka363iJVTW7QoBHRcrWM7hX-Ky-BiRz7UwYSEevat~NbIHclajDILDbZH03OX8WJEA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"The_lifespan_method_as_a_tool_to_study_criticality_in_absorbing_state_phase_transitions","translated_slug":"","page_count":9,"language":"en","content_type":"Work","owner":{"id":15839788,"first_name":"Angelica","middle_initials":null,"last_name":"Mata","page_name":"AngelicaMata","domain_name":"dwcc","created_at":"2014-08-30T11:46:33.268-07:00","display_name":"Angelica Mata","url":"https://dwcc.academia.edu/AngelicaMata"},"attachments":[{"id":50626381,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/50626381/thumbnails/1.jpg","file_name":"The_lifespan_method_as_a_tool_to_study_c20161129-23083-c24fwz.pdf","download_url":"https://www.academia.edu/attachments/50626381/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"The_lifespan_method_as_a_tool_to_study_c.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/50626381/The_lifespan_method_as_a_tool_to_study_c20161129-23083-c24fwz-libre.pdf?1480484164=\u0026response-content-disposition=attachment%3B+filename%3DThe_lifespan_method_as_a_tool_to_study_c.pdf\u0026Expires=1732809784\u0026Signature=IMP81lNqTYG2L2mbnDfohGN-1zfRWyJqHvKDtttfCyjqgUlkjq0~9mH~x91bjNVdKCZ9oVBw6VQJz2EbW1pqLEbFftol0q3XP~o56G9Upl-1WKu1eDrOV2oH8tmRXEulJC4yXTFTohxgSt~10HUWEcz0M4vDwe~sH1Ar1guxqtL-5vJW27jF5AVNX44IX3azrFqnv1Kkw3hZNsik9iqdRirdnXyxAV6A6LWu~s3UNlubRgSvts-vwEE20kv~vfGLe2RouZuibfuvZw9ssp9Dka363iJVTW7QoBHRcrWM7hX-Ky-BiRz7UwYSEevat~NbIHclajDILDbZH03OX8WJEA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"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"},{"id":118582,"name":"Physical sciences","url":"https://www.academia.edu/Documents/in/Physical_sciences"}],"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="30169125"><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/30169125/Lifespan_method_as_a_tool_to_study_criticality_in_absorbing_state_phase_transitions"><img alt="Research paper thumbnail of Lifespan method as a tool to study criticality in absorbing-state phase transitions" class="work-thumbnail" src="https://attachments.academia-assets.com/50626382/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/30169125/Lifespan_method_as_a_tool_to_study_criticality_in_absorbing_state_phase_transitions">Lifespan method as a tool to study criticality in absorbing-state phase transitions</a></div><div class="wp-workCard_item"><span>Physical review. E, Statistical, nonlinear, and soft matter physics</span><span>, 2015</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In a recent work, a new numerical method (the lifespan method) has been introduced to study the 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">In a recent work, a new numerical method (the lifespan method) has been introduced to study the critical properties of epidemic processes on complex networks [M. Bogu帽谩, C. Castellano, and R. Pastor-Satorras, Phys. Rev. Lett. 111, 068701 (2013)PRLTAO0031-900710.1103/PhysRevLett.111.068701]. Here, we present a detailed analysis of the viability of this method for the study of the critical properties of generic absorbing-state phase transitions in lattices. Focusing on the well-understood case of the contact process, we develop a finite-size scaling theory to measure the critical point and its associated critical exponents. We show the validity of the method by studying numerically the contact process on a one-dimensional lattice and comparing the findings of the lifespan method with the standard quasistationary method. We find that the lifespan method gives results that are perfectly compatible with those of quasistationary simulations and with analytical results. 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Sci. Rep. srep00469 (2012)]. For realistic activity distributions with a power-law form, we observe the presence of a very slow relaxation dynamics compatible with aging effects. A theoretical description of this processes in achieved by means of a mapping to Bouchaud's trap model. 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Phys.</span><span>, 2014</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="4a20e8c46298d28779de2df364279392" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":50626372,"asset_id":30169122,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/50626372/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&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="30169122"><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="30169122"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 30169122; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=30169122]").text(description); $(".js-view-count[data-work-id=30169122]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 30169122; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='30169122']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 30169122, 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: "4a20e8c46298d28779de2df364279392" } } $('.js-work-strip[data-work-id=30169122]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":30169122,"title":"Heterogeneous pair-approximation for the contact process on complex networks","translated_title":"","metadata":{"ai_title_tag":"Heterogeneous Pair-Approximation for Contact Processes on Networks","grobid_abstract":"Recent works have shown that the contact process running on the top of highly heterogeneous random networks is described by the heterogeneous mean-field theory. However, some important aspects as the transition point and strong corrections to the finite-size scaling observed in simulations are not quantitatively reproduced in this theory. We develop a heterogeneous pair-approximation, the simplest mean-field approach that takes into account dynamical correlations, for the contact process. The transition points obtained in this theory are in very good agreement with simulations. The proximity with a simple homogeneous pair-approximation is elicited showing that the transition point in successive homogeneous cluster approximations moves away from the simulation results. We show that the critical exponents of the heterogeneous pair-approximation in the infinite-size limit are the same as those of the one-vertex theory. However, excellent matches with simulations, for a wide range of network sizes, are obtained when sub-leading finite-size corrections given by the new theory are explicitly taken into account. The present approach can be suited to dynamical processes on networks in general providing a profitable strategy to analytically assess fine-tuning theoretical corrections.","publication_date":{"day":null,"month":null,"year":2014,"errors":{}},"publication_name":"New J. Phys.","grobid_abstract_attachment_id":50626372},"translated_abstract":null,"internal_url":"https://www.academia.edu/30169122/Heterogeneous_pair_approximation_for_the_contact_process_on_complex_networks","translated_internal_url":"","created_at":"2016-11-29T21:23:47.761-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15839788,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[{"id":26289453,"work_id":30169122,"tagging_user_id":15839788,"tagged_user_id":7227968,"co_author_invite_id":null,"email":"r***f@hotmail.com","affiliation":"Universidade Federal de Juiz de Fora","display_order":0,"name":"Ronan Figueiredo","title":"Heterogeneous pair-approximation for the contact process on complex networks"},{"id":26289470,"work_id":30169122,"tagging_user_id":15839788,"tagged_user_id":null,"co_author_invite_id":5799771,"email":"s***a@unila.edu.br","display_order":4194304,"name":"Silvio Ferreira","title":"Heterogeneous pair-approximation for the contact process on complex networks"}],"downloadable_attachments":[{"id":50626372,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/50626372/thumbnails/1.jpg","file_name":"1402.2832.pdf","download_url":"https://www.academia.edu/attachments/50626372/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Heterogeneous_pair_approximation_for_the.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/50626372/1402.2832-libre.pdf?1480484174=\u0026response-content-disposition=attachment%3B+filename%3DHeterogeneous_pair_approximation_for_the.pdf\u0026Expires=1732809784\u0026Signature=Xx~uE4A46rxdUhCLQQMbno89tkAWVHdWsNANffxXWNmu~~rNlXXmBAlngzUaYuerXimEzDcrPhFpt1Up6ZVPjNWMVIdbvn62RgDC1f3b~2A5sB60NRSrzZsLLp7Y~vSbuNzlf5x1GEtk81wGRnP~HdC6XK5L8JyWV3t6cCLXdIQ12zAJ1nKLGk6ODZdvQSO8XNbnqQlSnVSqaJDMyTPeuPcbktuUhVOjB5tkyjlk87VQcwWfbjWXF8HoKcN6EhO2gjVphxiTe6shaEk9lcks9521QH0AUbXqJRvn8SDnalqGwtVGM-aafzHyRzBhnRa5I2DjPh-lnvSRHX45wXpU2g__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Heterogeneous_pair_approximation_for_the_contact_process_on_complex_networks","translated_slug":"","page_count":16,"language":"en","content_type":"Work","owner":{"id":15839788,"first_name":"Angelica","middle_initials":null,"last_name":"Mata","page_name":"AngelicaMata","domain_name":"dwcc","created_at":"2014-08-30T11:46:33.268-07:00","display_name":"Angelica Mata","url":"https://dwcc.academia.edu/AngelicaMata"},"attachments":[{"id":50626372,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/50626372/thumbnails/1.jpg","file_name":"1402.2832.pdf","download_url":"https://www.academia.edu/attachments/50626372/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Heterogeneous_pair_approximation_for_the.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/50626372/1402.2832-libre.pdf?1480484174=\u0026response-content-disposition=attachment%3B+filename%3DHeterogeneous_pair_approximation_for_the.pdf\u0026Expires=1732809784\u0026Signature=Xx~uE4A46rxdUhCLQQMbno89tkAWVHdWsNANffxXWNmu~~rNlXXmBAlngzUaYuerXimEzDcrPhFpt1Up6ZVPjNWMVIdbvn62RgDC1f3b~2A5sB60NRSrzZsLLp7Y~vSbuNzlf5x1GEtk81wGRnP~HdC6XK5L8JyWV3t6cCLXdIQ12zAJ1nKLGk6ODZdvQSO8XNbnqQlSnVSqaJDMyTPeuPcbktuUhVOjB5tkyjlk87VQcwWfbjWXF8HoKcN6EhO2gjVphxiTe6shaEk9lcks9521QH0AUbXqJRvn8SDnalqGwtVGM-aafzHyRzBhnRa5I2DjPh-lnvSRHX45wXpU2g__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":701253,"name":"New Physics","url":"https://www.academia.edu/Documents/in/New_Physics"}],"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="30169121"><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/30169121/Addendum_to_Anomalous_scaling_and_super_roughness_in_the_growth_of_CdTe_polycrystalline_films"><img alt="Research paper thumbnail of Addendum to "Anomalous scaling and super-roughness in the growth of CdTe polycrystalline films" class="work-thumbnail" src="https://attachments.academia-assets.com/50626359/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/30169121/Addendum_to_Anomalous_scaling_and_super_roughness_in_the_growth_of_CdTe_polycrystalline_films">Addendum to "Anomalous scaling and super-roughness in the growth of CdTe polycrystalline films</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The scaling of the growth of CdTe films on glass substrates was investigated by Mata \textit{et a...</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">The scaling of the growth of CdTe films on glass substrates was investigated by Mata \textit{et al.} [Phys. Rev. B \textbf{78}, 115305 (2008)]. Part of the analysis consisted of the estimation of the correlation length $\xi$ using the decay in the height-height correlation function. Afterwards, the dynamical exponent $z$ was determined using the scaling hypothesis $\xi\sim t^{1/z}$. In this Addendum, we show that the correlation lengths obtained by Mata \textit{et al.} provide a long wavelength coarsening exponent that does not correspond to the dynamical exponent $z$. We also show that the short wavelength coarsening exponent is consistent with the exponent $z$ obtained by Nascimento \textit{et al}. [arXiv:1101.1493] via generic dynamical scaling theory.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="db2aeb45b41f035fbca3b073d3f01904" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":50626359,"asset_id":30169121,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/50626359/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&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="30169121"><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="30169121"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 30169121; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=30169121]").text(description); $(".js-view-count[data-work-id=30169121]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 30169121; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='30169121']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 30169121, 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: "db2aeb45b41f035fbca3b073d3f01904" } } $('.js-work-strip[data-work-id=30169121]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":30169121,"title":"Addendum to \"Anomalous scaling and super-roughness in the growth of CdTe polycrystalline films","translated_title":"","metadata":{"abstract":"The scaling of the growth of CdTe films on glass substrates was investigated by Mata \\textit{et al.} [Phys. Rev. B \\textbf{78}, 115305 (2008)]. Part of the analysis consisted of the estimation of the correlation length $\\xi$ using the decay in the height-height correlation function. Afterwards, the dynamical exponent $z$ was determined using the scaling hypothesis $\\xi\\sim t^{1/z}$. In this Addendum, we show that the correlation lengths obtained by Mata \\textit{et al.} provide a long wavelength coarsening exponent that does not correspond to the dynamical exponent $z$. We also show that the short wavelength coarsening exponent is consistent with the exponent $z$ obtained by Nascimento \\textit{et al}. [arXiv:1101.1493] via generic dynamical scaling theory.","publication_date":{"day":null,"month":null,"year":2011,"errors":{}}},"translated_abstract":"The scaling of the growth of CdTe films on glass substrates was investigated by Mata \\textit{et al.} [Phys. Rev. B \\textbf{78}, 115305 (2008)]. Part of the analysis consisted of the estimation of the correlation length $\\xi$ using the decay in the height-height correlation function. Afterwards, the dynamical exponent $z$ was determined using the scaling hypothesis $\\xi\\sim t^{1/z}$. In this Addendum, we show that the correlation lengths obtained by Mata \\textit{et al.} provide a long wavelength coarsening exponent that does not correspond to the dynamical exponent $z$. We also show that the short wavelength coarsening exponent is consistent with the exponent $z$ obtained by Nascimento \\textit{et al}. [arXiv:1101.1493] via generic dynamical scaling theory.","internal_url":"https://www.academia.edu/30169121/Addendum_to_Anomalous_scaling_and_super_roughness_in_the_growth_of_CdTe_polycrystalline_films","translated_internal_url":"","created_at":"2016-11-29T21:23:47.592-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15839788,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[{"id":26289454,"work_id":30169121,"tagging_user_id":15839788,"tagged_user_id":40535656,"co_author_invite_id":null,"email":"f***m@usp.br","display_order":0,"name":"F谩bio Santos Nascimento","title":"Addendum to \"Anomalous scaling and super-roughness in the growth of CdTe polycrystalline films"},{"id":26289469,"work_id":30169121,"tagging_user_id":15839788,"tagged_user_id":null,"co_author_invite_id":5799771,"email":"s***a@unila.edu.br","display_order":4194304,"name":"Silvio Ferreira","title":"Addendum to \"Anomalous scaling and super-roughness in the growth of CdTe polycrystalline films"}],"downloadable_attachments":[{"id":50626359,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/50626359/thumbnails/1.jpg","file_name":"1101.1789.pdf","download_url":"https://www.academia.edu/attachments/50626359/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Addendum_to_Anomalous_scaling_and_super.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/50626359/1101.1789-libre.pdf?1480484170=\u0026response-content-disposition=attachment%3B+filename%3DAddendum_to_Anomalous_scaling_and_super.pdf\u0026Expires=1732809784\u0026Signature=Fmx4fbCs7AUW1N1PpC2djDYbqJ2IHFdrC0cG-X34oh6vA-tr5Ry-Tr-Jlzi9yTpAoBhK4TjNpgGrHVO-cxDqR9ib612tfQl4esC2QTi891i25DbD24133HWe05lydHQvvDLeXcabvsN0EojPlRenyz0z-9JTfP9nGopVeinoCa8dhCx48nUxfYC4~rC9qvEajT8gzzyrH~ewCN5Obj43xw~X39git6W2pcyH1AhPcgT-ea~NMeKHcNdppyv5DDI4DcjvjJ8~AfRpfq2hzts1ktMKUXy89FJKA5myJQuQ8gpd6M2tVN5kA4yNFC7GTUQSwnLzMK7ClXuWJgL5kXsp4w__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Addendum_to_Anomalous_scaling_and_super_roughness_in_the_growth_of_CdTe_polycrystalline_films","translated_slug":"","page_count":2,"language":"en","content_type":"Work","owner":{"id":15839788,"first_name":"Angelica","middle_initials":null,"last_name":"Mata","page_name":"AngelicaMata","domain_name":"dwcc","created_at":"2014-08-30T11:46:33.268-07:00","display_name":"Angelica Mata","url":"https://dwcc.academia.edu/AngelicaMata"},"attachments":[{"id":50626359,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/50626359/thumbnails/1.jpg","file_name":"1101.1789.pdf","download_url":"https://www.academia.edu/attachments/50626359/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Addendum_to_Anomalous_scaling_and_super.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/50626359/1101.1789-libre.pdf?1480484170=\u0026response-content-disposition=attachment%3B+filename%3DAddendum_to_Anomalous_scaling_and_super.pdf\u0026Expires=1732809784\u0026Signature=Fmx4fbCs7AUW1N1PpC2djDYbqJ2IHFdrC0cG-X34oh6vA-tr5Ry-Tr-Jlzi9yTpAoBhK4TjNpgGrHVO-cxDqR9ib612tfQl4esC2QTi891i25DbD24133HWe05lydHQvvDLeXcabvsN0EojPlRenyz0z-9JTfP9nGopVeinoCa8dhCx48nUxfYC4~rC9qvEajT8gzzyrH~ewCN5Obj43xw~X39git6W2pcyH1AhPcgT-ea~NMeKHcNdppyv5DDI4DcjvjJ8~AfRpfq2hzts1ktMKUXy89FJKA5myJQuQ8gpd6M2tVN5kA4yNFC7GTUQSwnLzMK7ClXuWJgL5kXsp4w__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"},{"id":50626358,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/50626358/thumbnails/1.jpg","file_name":"1101.1789.pdf","download_url":"https://www.academia.edu/attachments/50626358/download_file","bulk_download_file_name":"Addendum_to_Anomalous_scaling_and_super.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/50626358/1101.1789-libre.pdf?1480484171=\u0026response-content-disposition=attachment%3B+filename%3DAddendum_to_Anomalous_scaling_and_super.pdf\u0026Expires=1732809784\u0026Signature=LnC5Wj--6Us0sycbAW7QHv~zKb0aE8-QgvcFSoPtMpxLjg03c5MhngnF0bc2y-YT4vKxlrUmgg7qgoU0vf4bJLykklmnIJTGukGdMhHwbKR4B0zvJiw~re7ZyTS5NhzLfZhcRCFuX5FottC6kCphCuW8QkHzPmPyySqCfcqLpXE4hiokn3HzDtsWiN4b-~fjksT9Qx553g58KLaP-vml4u3tAMlgdh~AhAQp9pZPxXU21iaCDZCZ07TMwfkL~FlvIPHoEmmVpK95ncSU1laohNOudq7zqShZS0bzZ0aEPkL-HV5z-FnShydgsedqXkHkG7R~gFgEuLV4Ur~nGlk8zA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":392522,"name":"Dynamic Voltage Scaling","url":"https://www.academia.edu/Documents/in/Dynamic_Voltage_Scaling"},{"id":2382100,"name":"Correlation function","url":"https://www.academia.edu/Documents/in/Correlation_function"}],"urls":[{"id":7781057,"url":"http://arxiv.org/abs/1101.1789"}]}, dispatcherData: dispatcherData }); 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Direct measures of the dynamical exponent revealed an intrinsically anomalous scaling characterized by a global roughness exponent 伪 distinct from the local one (the Hurst exponent H), previously reported [Ferreira et al., Appl. Phys. Lett. 88, 244103 (2006)]. A variety of scaling behaviors was obtained with varying substrate temperature. In particular, a transition from a intrinsically anomalous scaling regime with H = 伪 \u003c 1 at low temperatures to a super-rough regime with H = 伪 \u003e 1 at high temperatures was observed. The temperature is a growth parameter that controls both the interface roughness and dynamical scaling exponents. 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We present analytical expressions of the epidemic thresholds in the star and wheel graphs and in random regular networks. For random networks with a power law degree distribution, the thresholds are numerically determined via an eigenvalue problem. The pair and one-vertex QMF theories yield the same scaling for the thresholds as functions of the network size. However, comparisons with quasi-stationary simulations of the SIS dynamics on large networks show that the former is quantitatively much more accurate than the latter. Our results demonstrate the central role played by dynamical correlations on the epidemic spreading and introduce an efficient way to theoretically access the thresholds of very large networks that can be extended to dynamical processes in general.","publication_date":{"day":null,"month":null,"year":2013,"errors":{}},"publication_name":"EPL (Europhysics Letters)","grobid_abstract_attachment_id":50626373},"translated_abstract":null,"internal_url":"https://www.academia.edu/30169119/Pair_quenched_mean_field_theory_for_the_susceptible_infected_susceptible_model_on_complex_networks","translated_internal_url":"","created_at":"2016-11-29T21:23:47.377-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15839788,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[{"id":26289467,"work_id":30169119,"tagging_user_id":15839788,"tagged_user_id":null,"co_author_invite_id":5799771,"email":"s***a@unila.edu.br","display_order":0,"name":"Silvio Ferreira","title":"Pair quenched mean-field theory for the susceptible-infected-susceptible model on complex networks"}],"downloadable_attachments":[{"id":50626373,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/50626373/thumbnails/1.jpg","file_name":"1305.5153.pdf","download_url":"https://www.academia.edu/attachments/50626373/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Pair_quenched_mean_field_theory_for_the.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/50626373/1305.5153-libre.pdf?1480484163=\u0026response-content-disposition=attachment%3B+filename%3DPair_quenched_mean_field_theory_for_the.pdf\u0026Expires=1732809784\u0026Signature=e4mfIsQgkzAxxkPcv9em1X6jrWRWqqEyhnB~-ImTRv1kUkGlIJU3V6ijd5TIltuwnUaCT~6fiDtA5wB9kVrYvkQVDjVO1IMoGydQoFmlMPGYohQsAmTX7zOpvIDoOl9mg-EnJUo9Ohb~SMO0bOfBWxCMalPyKi~ZSbCqCZNQk7Km-BbNAx5pn-~UbnAGRKNhvelj66TJ6oOJ-rADzuT-RaY0CzqoXmwr5KTkMsJgkttELao5sIz5-QkvkaTUPiOqL3B0Nj68DesRn5UfaA87u3ROrR12TJ0~545jAJsh5q0BS75FrtiipOppGRnnWwu0phIuoa2WVr6u73lsTcjc9g__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Pair_quenched_mean_field_theory_for_the_susceptible_infected_susceptible_model_on_complex_networks","translated_slug":"","page_count":6,"language":"en","content_type":"Work","owner":{"id":15839788,"first_name":"Angelica","middle_initials":null,"last_name":"Mata","page_name":"AngelicaMata","domain_name":"dwcc","created_at":"2014-08-30T11:46:33.268-07:00","display_name":"Angelica Mata","url":"https://dwcc.academia.edu/AngelicaMata"},"attachments":[{"id":50626373,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/50626373/thumbnails/1.jpg","file_name":"1305.5153.pdf","download_url":"https://www.academia.edu/attachments/50626373/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Pair_quenched_mean_field_theory_for_the.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/50626373/1305.5153-libre.pdf?1480484163=\u0026response-content-disposition=attachment%3B+filename%3DPair_quenched_mean_field_theory_for_the.pdf\u0026Expires=1732809784\u0026Signature=e4mfIsQgkzAxxkPcv9em1X6jrWRWqqEyhnB~-ImTRv1kUkGlIJU3V6ijd5TIltuwnUaCT~6fiDtA5wB9kVrYvkQVDjVO1IMoGydQoFmlMPGYohQsAmTX7zOpvIDoOl9mg-EnJUo9Ohb~SMO0bOfBWxCMalPyKi~ZSbCqCZNQk7Km-BbNAx5pn-~UbnAGRKNhvelj66TJ6oOJ-rADzuT-RaY0CzqoXmwr5KTkMsJgkttELao5sIz5-QkvkaTUPiOqL3B0Nj68DesRn5UfaA87u3ROrR12TJ0~545jAJsh5q0BS75FrtiipOppGRnnWwu0phIuoa2WVr6u73lsTcjc9g__\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"},{"id":148392,"name":"EPL","url":"https://www.academia.edu/Documents/in/EPL"}],"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="30169118"><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/30169118/Effects_of_local_population_structure_in_a_reaction_diffusion_model_of_a_contact_process_on_metapopulation_networks"><img alt="Research paper thumbnail of Effects of local population structure in a reaction-diffusion model of a contact process on metapopulation networks" class="work-thumbnail" src="https://attachments.academia-assets.com/50626378/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/30169118/Effects_of_local_population_structure_in_a_reaction_diffusion_model_of_a_contact_process_on_metapopulation_networks">Effects of local population structure in a reaction-diffusion model of a contact process on metapopulation networks</a></div><div class="wp-workCard_item"><span>Physical Review E - Statistical, Nonlinear, and Soft Matter Physics</span><span>, 2013</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="634d3b9278f95a41cce52705bb4af281" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":50626378,"asset_id":30169118,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/50626378/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&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="30169118"><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="30169118"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 30169118; 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We performed extensive simulations in the quasistationary state for a comparison with these mean-field theories. We observed concomitant multiple transitions in individual networks presenting large gaps in the degree distribution and the obtained multiple epidemic thresholds are well described by different mean-field theories. We observed that the transitions involving thresholds which vanishes at the thermodynamic limit involve localized states, in which a vanishing fraction of the network effectively contribute to epidemic activity, whereas an endemic state, with a finite density of infected vertices, occurs at a finite threshold. The multiple transitions are related to the activations of distinct sub-domains of the network, which are not directly connected.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="a787a06b1df9a6dfaa396e61f8b8c2d3" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":50626361,"asset_id":30169127,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/50626361/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&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="30169127"><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="30169127"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 30169127; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=30169127]").text(description); $(".js-view-count[data-work-id=30169127]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 30169127; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='30169127']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 30169127, 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: "a787a06b1df9a6dfaa396e61f8b8c2d3" } } $('.js-work-strip[data-work-id=30169127]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":30169127,"title":"Multiple phase transitions of the susceptible-infected-susceptible epidemic model on complex networks","translated_title":"","metadata":{"abstract":"The epidemic threshold of the susceptible-infected-susceptible (SIS) dynamics on random networks having a power law degree distribution with exponent $\\gamma\u003e3$ has been investigated using different mean-field approaches, which predict different outcomes. 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E, Statistical, nonlinear, and soft matter physics</span><span>, 2015</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In a recent work, a new numerical method (the lifespan method) has been introduced to study the 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">In a recent work, a new numerical method (the lifespan method) has been introduced to study the critical properties of epidemic processes on complex networks [M. Bogu帽谩, C. Castellano, and R. Pastor-Satorras, Phys. Rev. Lett. 111, 068701 (2013)PRLTAO0031-900710.1103/PhysRevLett.111.068701]. Here, we present a detailed analysis of the viability of this method for the study of the critical properties of generic absorbing-state phase transitions in lattices. Focusing on the well-understood case of the contact process, we develop a finite-size scaling theory to measure the critical point and its associated critical exponents. We show the validity of the method by studying numerically the contact process on a one-dimensional lattice and comparing the findings of the lifespan method with the standard quasistationary method. We find that the lifespan method gives results that are perfectly compatible with those of quasistationary simulations and with analytical results. Our observations co...</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="f58af033b77658cb51cb36e5f5fd2d63" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":50626382,"asset_id":30169125,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/50626382/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&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="30169125"><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="30169125"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 30169125; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=30169125]").text(description); $(".js-view-count[data-work-id=30169125]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 30169125; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='30169125']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 30169125, 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: "f58af033b77658cb51cb36e5f5fd2d63" } } $('.js-work-strip[data-work-id=30169125]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":30169125,"title":"Lifespan method as a tool to study criticality in absorbing-state phase transitions","translated_title":"","metadata":{"abstract":"In a recent work, a new numerical method (the lifespan method) has been introduced to study the critical properties of epidemic processes on complex networks [M. Bogu帽谩, C. Castellano, and R. Pastor-Satorras, Phys. Rev. Lett. 111, 068701 (2013)PRLTAO0031-900710.1103/PhysRevLett.111.068701]. Here, we present a detailed analysis of the viability of this method for the study of the critical properties of generic absorbing-state phase transitions in lattices. Focusing on the well-understood case of the contact process, we develop a finite-size scaling theory to measure the critical point and its associated critical exponents. We show the validity of the method by studying numerically the contact process on a one-dimensional lattice and comparing the findings of the lifespan method with the standard quasistationary method. We find that the lifespan method gives results that are perfectly compatible with those of quasistationary simulations and with analytical results. Our observations co...","publication_date":{"day":null,"month":null,"year":2015,"errors":{}},"publication_name":"Physical review. E, Statistical, nonlinear, and soft matter physics"},"translated_abstract":"In a recent work, a new numerical method (the lifespan method) has been introduced to study the critical properties of epidemic processes on complex networks [M. Bogu帽谩, C. Castellano, and R. Pastor-Satorras, Phys. Rev. Lett. 111, 068701 (2013)PRLTAO0031-900710.1103/PhysRevLett.111.068701]. Here, we present a detailed analysis of the viability of this method for the study of the critical properties of generic absorbing-state phase transitions in lattices. Focusing on the well-understood case of the contact process, we develop a finite-size scaling theory to measure the critical point and its associated critical exponents. We show the validity of the method by studying numerically the contact process on a one-dimensional lattice and comparing the findings of the lifespan method with the standard quasistationary method. We find that the lifespan method gives results that are perfectly compatible with those of quasistationary simulations and with analytical results. 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Phys.</span><span>, 2014</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="4a20e8c46298d28779de2df364279392" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":50626372,"asset_id":30169122,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/50626372/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&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="30169122"><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="30169122"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 30169122; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=30169122]").text(description); $(".js-view-count[data-work-id=30169122]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 30169122; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='30169122']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 30169122, 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: "4a20e8c46298d28779de2df364279392" } } $('.js-work-strip[data-work-id=30169122]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":30169122,"title":"Heterogeneous pair-approximation for the contact process on complex networks","translated_title":"","metadata":{"ai_title_tag":"Heterogeneous Pair-Approximation for Contact Processes on Networks","grobid_abstract":"Recent works have shown that the contact process running on the top of highly heterogeneous random networks is described by the heterogeneous mean-field theory. However, some important aspects as the transition point and strong corrections to the finite-size scaling observed in simulations are not quantitatively reproduced in this theory. We develop a heterogeneous pair-approximation, the simplest mean-field approach that takes into account dynamical correlations, for the contact process. The transition points obtained in this theory are in very good agreement with simulations. The proximity with a simple homogeneous pair-approximation is elicited showing that the transition point in successive homogeneous cluster approximations moves away from the simulation results. We show that the critical exponents of the heterogeneous pair-approximation in the infinite-size limit are the same as those of the one-vertex theory. However, excellent matches with simulations, for a wide range of network sizes, are obtained when sub-leading finite-size corrections given by the new theory are explicitly taken into account. The present approach can be suited to dynamical processes on networks in general providing a profitable strategy to analytically assess fine-tuning theoretical corrections.","publication_date":{"day":null,"month":null,"year":2014,"errors":{}},"publication_name":"New J. Phys.","grobid_abstract_attachment_id":50626372},"translated_abstract":null,"internal_url":"https://www.academia.edu/30169122/Heterogeneous_pair_approximation_for_the_contact_process_on_complex_networks","translated_internal_url":"","created_at":"2016-11-29T21:23:47.761-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15839788,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[{"id":26289453,"work_id":30169122,"tagging_user_id":15839788,"tagged_user_id":7227968,"co_author_invite_id":null,"email":"r***f@hotmail.com","affiliation":"Universidade Federal de Juiz de Fora","display_order":0,"name":"Ronan Figueiredo","title":"Heterogeneous pair-approximation for the contact process on complex networks"},{"id":26289470,"work_id":30169122,"tagging_user_id":15839788,"tagged_user_id":null,"co_author_invite_id":5799771,"email":"s***a@unila.edu.br","display_order":4194304,"name":"Silvio Ferreira","title":"Heterogeneous pair-approximation for the contact process on complex networks"}],"downloadable_attachments":[{"id":50626372,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/50626372/thumbnails/1.jpg","file_name":"1402.2832.pdf","download_url":"https://www.academia.edu/attachments/50626372/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Heterogeneous_pair_approximation_for_the.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/50626372/1402.2832-libre.pdf?1480484174=\u0026response-content-disposition=attachment%3B+filename%3DHeterogeneous_pair_approximation_for_the.pdf\u0026Expires=1732809784\u0026Signature=Xx~uE4A46rxdUhCLQQMbno89tkAWVHdWsNANffxXWNmu~~rNlXXmBAlngzUaYuerXimEzDcrPhFpt1Up6ZVPjNWMVIdbvn62RgDC1f3b~2A5sB60NRSrzZsLLp7Y~vSbuNzlf5x1GEtk81wGRnP~HdC6XK5L8JyWV3t6cCLXdIQ12zAJ1nKLGk6ODZdvQSO8XNbnqQlSnVSqaJDMyTPeuPcbktuUhVOjB5tkyjlk87VQcwWfbjWXF8HoKcN6EhO2gjVphxiTe6shaEk9lcks9521QH0AUbXqJRvn8SDnalqGwtVGM-aafzHyRzBhnRa5I2DjPh-lnvSRHX45wXpU2g__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Heterogeneous_pair_approximation_for_the_contact_process_on_complex_networks","translated_slug":"","page_count":16,"language":"en","content_type":"Work","owner":{"id":15839788,"first_name":"Angelica","middle_initials":null,"last_name":"Mata","page_name":"AngelicaMata","domain_name":"dwcc","created_at":"2014-08-30T11:46:33.268-07:00","display_name":"Angelica Mata","url":"https://dwcc.academia.edu/AngelicaMata"},"attachments":[{"id":50626372,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/50626372/thumbnails/1.jpg","file_name":"1402.2832.pdf","download_url":"https://www.academia.edu/attachments/50626372/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Heterogeneous_pair_approximation_for_the.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/50626372/1402.2832-libre.pdf?1480484174=\u0026response-content-disposition=attachment%3B+filename%3DHeterogeneous_pair_approximation_for_the.pdf\u0026Expires=1732809784\u0026Signature=Xx~uE4A46rxdUhCLQQMbno89tkAWVHdWsNANffxXWNmu~~rNlXXmBAlngzUaYuerXimEzDcrPhFpt1Up6ZVPjNWMVIdbvn62RgDC1f3b~2A5sB60NRSrzZsLLp7Y~vSbuNzlf5x1GEtk81wGRnP~HdC6XK5L8JyWV3t6cCLXdIQ12zAJ1nKLGk6ODZdvQSO8XNbnqQlSnVSqaJDMyTPeuPcbktuUhVOjB5tkyjlk87VQcwWfbjWXF8HoKcN6EhO2gjVphxiTe6shaEk9lcks9521QH0AUbXqJRvn8SDnalqGwtVGM-aafzHyRzBhnRa5I2DjPh-lnvSRHX45wXpU2g__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":701253,"name":"New Physics","url":"https://www.academia.edu/Documents/in/New_Physics"}],"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="30169121"><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/30169121/Addendum_to_Anomalous_scaling_and_super_roughness_in_the_growth_of_CdTe_polycrystalline_films"><img alt="Research paper thumbnail of Addendum to "Anomalous scaling and super-roughness in the growth of CdTe polycrystalline films" class="work-thumbnail" src="https://attachments.academia-assets.com/50626359/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/30169121/Addendum_to_Anomalous_scaling_and_super_roughness_in_the_growth_of_CdTe_polycrystalline_films">Addendum to "Anomalous scaling and super-roughness in the growth of CdTe polycrystalline films</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The scaling of the growth of CdTe films on glass substrates was investigated by Mata \textit{et a...</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">The scaling of the growth of CdTe films on glass substrates was investigated by Mata \textit{et al.} [Phys. Rev. B \textbf{78}, 115305 (2008)]. Part of the analysis consisted of the estimation of the correlation length $\xi$ using the decay in the height-height correlation function. Afterwards, the dynamical exponent $z$ was determined using the scaling hypothesis $\xi\sim t^{1/z}$. In this Addendum, we show that the correlation lengths obtained by Mata \textit{et al.} provide a long wavelength coarsening exponent that does not correspond to the dynamical exponent $z$. We also show that the short wavelength coarsening exponent is consistent with the exponent $z$ obtained by Nascimento \textit{et al}. [arXiv:1101.1493] via generic dynamical scaling theory.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="db2aeb45b41f035fbca3b073d3f01904" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":50626359,"asset_id":30169121,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/50626359/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&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="30169121"><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="30169121"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 30169121; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=30169121]").text(description); $(".js-view-count[data-work-id=30169121]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 30169121; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='30169121']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 30169121, 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: "db2aeb45b41f035fbca3b073d3f01904" } } $('.js-work-strip[data-work-id=30169121]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":30169121,"title":"Addendum to \"Anomalous scaling and super-roughness in the growth of CdTe polycrystalline films","translated_title":"","metadata":{"abstract":"The scaling of the growth of CdTe films on glass substrates was investigated by Mata \\textit{et al.} [Phys. 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Direct measures of the dynamical exponent revealed an intrinsically anomalous scaling characterized by a global roughness exponent 伪 distinct from the local one (the Hurst exponent H), previously reported [Ferreira et al., Appl. Phys. Lett. 88, 244103 (2006)]. A variety of scaling behaviors was obtained with varying substrate temperature. In particular, a transition from a intrinsically anomalous scaling regime with H = 伪 \u003c 1 at low temperatures to a super-rough regime with H = 伪 \u003e 1 at high temperatures was observed. The temperature is a growth parameter that controls both the interface roughness and dynamical scaling exponents. Nonlocal effects are pointed as the factors ruling the anomalous scaling behavior.","publication_date":{"day":null,"month":null,"year":2008,"errors":{}},"publication_name":"Physical Review B","grobid_abstract_attachment_id":50626379},"translated_abstract":null,"internal_url":"https://www.academia.edu/30169120/Anomalous_scaling_and_super_roughness_in_the_growth_of_CdTe_polycrystalline_films","translated_internal_url":"","created_at":"2016-11-29T21:23:47.488-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15839788,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[{"id":26289452,"work_id":30169120,"tagging_user_id":15839788,"tagged_user_id":33669589,"co_author_invite_id":null,"email":"i***o@gmail.com","affiliation":"Universidade Federal do Rio Grande do Sul","display_order":0,"name":"Ingrid Ribeiro","title":"Anomalous scaling and super-roughness in the growth of CdTe polycrystalline films"},{"id":26289468,"work_id":30169120,"tagging_user_id":15839788,"tagged_user_id":null,"co_author_invite_id":5799771,"email":"s***a@unila.edu.br","display_order":4194304,"name":"Silvio Ferreira","title":"Anomalous scaling and super-roughness in the growth of CdTe polycrystalline films"}],"downloadable_attachments":[{"id":50626379,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/50626379/thumbnails/1.jpg","file_name":"Anomalous_scaling_and_super-roughness_in20161129-23086-1u83nih.pdf","download_url":"https://www.academia.edu/attachments/50626379/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Anomalous_scaling_and_super_roughness_in.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/50626379/Anomalous_scaling_and_super-roughness_in20161129-23086-1u83nih-libre.pdf?1480484164=\u0026response-content-disposition=attachment%3B+filename%3DAnomalous_scaling_and_super_roughness_in.pdf\u0026Expires=1732809784\u0026Signature=ArFZMqhSigwp3gd06sFeSQMC98LrRWpE4Pjc3oXMsszMOCiKNSOaKFarCjsdp6xwfpnrqj~OJ8DeBU2w3E5oKxeYZOStF2Ng6IgzcQ7nAgoHMAgxH7C2rGj7Jzs2qOCUaHEbOt4xUGMI5Naag4qjHF8kzTC7Ob2sx2eAzEdHHoCJXEoiYc4jII3nqlv0YYM3UggzeURD8sCWO16s1dBC9uEefnKaSUPzvHu~MDqTXFGaj8NwDAB91kbonxg5gkBnYBxh~yJWEK2~ydhPklEfH-peku6sKZSA-S3MCY97Yo5jEA5soDHS1oWwZ7HQmMLgpmOsFmxYxY0bfGtZjrj1Vw__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Anomalous_scaling_and_super_roughness_in_the_growth_of_CdTe_polycrystalline_films","translated_slug":"","page_count":6,"language":"en","content_type":"Work","owner":{"id":15839788,"first_name":"Angelica","middle_initials":null,"last_name":"Mata","page_name":"AngelicaMata","domain_name":"dwcc","created_at":"2014-08-30T11:46:33.268-07:00","display_name":"Angelica Mata","url":"https://dwcc.academia.edu/AngelicaMata"},"attachments":[{"id":50626379,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/50626379/thumbnails/1.jpg","file_name":"Anomalous_scaling_and_super-roughness_in20161129-23086-1u83nih.pdf","download_url":"https://www.academia.edu/attachments/50626379/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Anomalous_scaling_and_super_roughness_in.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/50626379/Anomalous_scaling_and_super-roughness_in20161129-23086-1u83nih-libre.pdf?1480484164=\u0026response-content-disposition=attachment%3B+filename%3DAnomalous_scaling_and_super_roughness_in.pdf\u0026Expires=1732809784\u0026Signature=ArFZMqhSigwp3gd06sFeSQMC98LrRWpE4Pjc3oXMsszMOCiKNSOaKFarCjsdp6xwfpnrqj~OJ8DeBU2w3E5oKxeYZOStF2Ng6IgzcQ7nAgoHMAgxH7C2rGj7Jzs2qOCUaHEbOt4xUGMI5Naag4qjHF8kzTC7Ob2sx2eAzEdHHoCJXEoiYc4jII3nqlv0YYM3UggzeURD8sCWO16s1dBC9uEefnKaSUPzvHu~MDqTXFGaj8NwDAB91kbonxg5gkBnYBxh~yJWEK2~ydhPklEfH-peku6sKZSA-S3MCY97Yo5jEA5soDHS1oWwZ7HQmMLgpmOsFmxYxY0bfGtZjrj1Vw__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":35270,"name":"FTO - Fluorine-doped tin oxide","url":"https://www.academia.edu/Documents/in/FTO_-_Fluorine-doped_tin_oxide"},{"id":44187,"name":"Critical phenomena","url":"https://www.academia.edu/Documents/in/Critical_phenomena"},{"id":101573,"name":"Thin Film","url":"https://www.academia.edu/Documents/in/Thin_Film"},{"id":118582,"name":"Physical sciences","url":"https://www.academia.edu/Documents/in/Physical_sciences"},{"id":191117,"name":"High Temperature","url":"https://www.academia.edu/Documents/in/High_Temperature"},{"id":260118,"name":"CHEMICAL SCIENCES","url":"https://www.academia.edu/Documents/in/CHEMICAL_SCIENCES"},{"id":392522,"name":"Dynamic Voltage Scaling","url":"https://www.academia.edu/Documents/in/Dynamic_Voltage_Scaling"},{"id":616972,"name":"Low Temperature","url":"https://www.academia.edu/Documents/in/Low_Temperature"},{"id":1447726,"name":"Hurst Exponent","url":"https://www.academia.edu/Documents/in/Hurst_Exponent"}],"urls":[]}, dispatcherData: dispatcherData }); 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We present analytical expressions of the epidemic thresholds in the star and wheel graphs and in random regular networks. For random networks with a power law degree distribution, the thresholds are numerically determined via an eigenvalue problem. The pair and one-vertex QMF theories yield the same scaling for the thresholds as functions of the network size. However, comparisons with quasi-stationary simulations of the SIS dynamics on large networks show that the former is quantitatively much more accurate than the latter. Our results demonstrate the central role played by dynamical correlations on the epidemic spreading and introduce an efficient way to theoretically access the thresholds of very large networks that can be extended to dynamical processes in general.","publication_date":{"day":null,"month":null,"year":2013,"errors":{}},"publication_name":"EPL (Europhysics Letters)","grobid_abstract_attachment_id":50626373},"translated_abstract":null,"internal_url":"https://www.academia.edu/30169119/Pair_quenched_mean_field_theory_for_the_susceptible_infected_susceptible_model_on_complex_networks","translated_internal_url":"","created_at":"2016-11-29T21:23:47.377-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":15839788,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[{"id":26289467,"work_id":30169119,"tagging_user_id":15839788,"tagged_user_id":null,"co_author_invite_id":5799771,"email":"s***a@unila.edu.br","display_order":0,"name":"Silvio Ferreira","title":"Pair quenched mean-field theory for the susceptible-infected-susceptible model on complex networks"}],"downloadable_attachments":[{"id":50626373,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/50626373/thumbnails/1.jpg","file_name":"1305.5153.pdf","download_url":"https://www.academia.edu/attachments/50626373/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Pair_quenched_mean_field_theory_for_the.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/50626373/1305.5153-libre.pdf?1480484163=\u0026response-content-disposition=attachment%3B+filename%3DPair_quenched_mean_field_theory_for_the.pdf\u0026Expires=1732809784\u0026Signature=e4mfIsQgkzAxxkPcv9em1X6jrWRWqqEyhnB~-ImTRv1kUkGlIJU3V6ijd5TIltuwnUaCT~6fiDtA5wB9kVrYvkQVDjVO1IMoGydQoFmlMPGYohQsAmTX7zOpvIDoOl9mg-EnJUo9Ohb~SMO0bOfBWxCMalPyKi~ZSbCqCZNQk7Km-BbNAx5pn-~UbnAGRKNhvelj66TJ6oOJ-rADzuT-RaY0CzqoXmwr5KTkMsJgkttELao5sIz5-QkvkaTUPiOqL3B0Nj68DesRn5UfaA87u3ROrR12TJ0~545jAJsh5q0BS75FrtiipOppGRnnWwu0phIuoa2WVr6u73lsTcjc9g__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Pair_quenched_mean_field_theory_for_the_susceptible_infected_susceptible_model_on_complex_networks","translated_slug":"","page_count":6,"language":"en","content_type":"Work","owner":{"id":15839788,"first_name":"Angelica","middle_initials":null,"last_name":"Mata","page_name":"AngelicaMata","domain_name":"dwcc","created_at":"2014-08-30T11:46:33.268-07:00","display_name":"Angelica Mata","url":"https://dwcc.academia.edu/AngelicaMata"},"attachments":[{"id":50626373,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/50626373/thumbnails/1.jpg","file_name":"1305.5153.pdf","download_url":"https://www.academia.edu/attachments/50626373/download_file?st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&st=MTczMjgwNjE4NCw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Pair_quenched_mean_field_theory_for_the.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/50626373/1305.5153-libre.pdf?1480484163=\u0026response-content-disposition=attachment%3B+filename%3DPair_quenched_mean_field_theory_for_the.pdf\u0026Expires=1732809784\u0026Signature=e4mfIsQgkzAxxkPcv9em1X6jrWRWqqEyhnB~-ImTRv1kUkGlIJU3V6ijd5TIltuwnUaCT~6fiDtA5wB9kVrYvkQVDjVO1IMoGydQoFmlMPGYohQsAmTX7zOpvIDoOl9mg-EnJUo9Ohb~SMO0bOfBWxCMalPyKi~ZSbCqCZNQk7Km-BbNAx5pn-~UbnAGRKNhvelj66TJ6oOJ-rADzuT-RaY0CzqoXmwr5KTkMsJgkttELao5sIz5-QkvkaTUPiOqL3B0Nj68DesRn5UfaA87u3ROrR12TJ0~545jAJsh5q0BS75FrtiipOppGRnnWwu0phIuoa2WVr6u73lsTcjc9g__\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"},{"id":148392,"name":"EPL","url":"https://www.academia.edu/Documents/in/EPL"}],"urls":[]}, dispatcherData: dispatcherData }); 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Considering a model in which the nodes of a large scale network represent local populations defined in terms of a homogeneous graph, we show by means of extensive numerical simulations that the critical properties of the reaction-diffusion system are independent of the local population structure, even when this one is given by a ordered linear chain. This independence is confirmed by the perfect matching between numerical critical exponents and the results from a heterogeneous mean-field theory suited, in principle, to describe situations of local homogeneous mixing. 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