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site-occupation probability. Our method involves calculating recursion relations using progressively larger 1attice rescalings, b. We find smooth sequences for the value of the critical percolation concentration p, (b) and for the scaling powers yp(b) and yz(b). Extrapolating these sequences to the limit b-'~l eads to quite accurate numerical predictions. Further, by considering other weight functions or \"rules\" which also embody the essential connectivity feature of percolation, we find that the numerical results in the infinite-cell limit are in fact \"rule independent. \" However, the actual fashion in which this limit is approached does depend upon the rule chosen. A connection between extrapolation of our renormalization-group results and finite-size scaling is made. Furthermore, the usual finite-size scaling arguments lead to independent estimates of p, and yp. Combining both the large-cell approach and the finite-size scaling results, we obtain yp =0,7385 +0.0080 and yI, =1.898+0.003. Thus we find op 0 708 0 030 Pp 0 138('+0 006 0 005) pp 2 432 +0.035, Sp =18.6 +0.6, vp =1.354 +0.015, and 2qp =1.796 +0.006. The site-percolation threshold is found for the square lattice at p, =0.5931 +0.0006. We note that our calculated value of vp is in considerably better agreement with the proposal of Klein et al. that 3 4 vv = In c3/ In (2) =-1.3S48, than with den Nijs' recent conjecture, which predicts vv = 3. However, our results cannot entirely rule out the latter possibility.","publication_date":"1980,,","publication_name":"Physical Review B","grobid_abstract_attachment_id":"87391772"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"Large-cell Monte Carlo renormalization group for percolation","broadcastable":true,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [32528797]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "control"; window.loswp.useOptimizedScribd4genScript = false; window.loswp.appleClientId = 'edu.academia.applesignon';</script><script defer="" src="https://accounts.google.com/gsi/client"></script><div class="ds-loswp-container"><div class="ds-work-card--grid-container"><div class="ds-work-card--container js-loswp-work-card"><div class="ds-work-card--cover"><div class="ds-work-cover--wrapper"><div class="ds-work-cover--container"><button class="ds-work-cover--clickable js-swp-download-button" data-signup-modal="{"location":"swp-splash-paper-cover","attachmentId":87391772,"attachmentType":"pdf"}"><img alt="First page of “Large-cell Monte Carlo renormalization group for percolation”" class="ds-work-cover--cover-thumbnail" src="https://0.academia-photos.com/attachment_thumbnails/87391772/mini_magick20220612-19767-5sk7yl.png?1655041873" /><img alt="PDF Icon" class="ds-work-cover--file-icon" src="//a.academia-assets.com/assets/single_work_splash/adobe.icon-574afd46eb6b03a77a153a647fb47e30546f9215c0ee6a25df597a779717f9ef.svg" /><div class="ds-work-cover--hover-container"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span><p>Download Free PDF</p></div><div class="ds-work-cover--ribbon-container">Download Free PDF</div><div class="ds-work-cover--ribbon-triangle"></div></button></div></div></div><div class="ds-work-card--work-information"><h1 class="ds-work-card--work-title">Large-cell Monte Carlo renormalization group for percolation</h1><div class="ds-work-card--work-authors ds-work-card--detail"><a class="ds-work-card--author js-wsj-grid-card-author ds2-5-body-md ds2-5-body-link" data-author-id="32528797" href="https://independent.academia.edu/WKlein1"><img alt="Profile image of W. 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Klein</a></div><div class="ds-work-card--detail"><p class="ds-work-card--detail ds2-5-body-sm">1980, Physical Review B</p><div class="ds-work-card--work-metadata"><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">visibility</span><p class="ds2-5-body-sm" id="work-metadata-view-count">…</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">description</span><p class="ds2-5-body-sm">23 pages</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">link</span><p class="ds2-5-body-sm">1 file</p></div></div><script>(async () => { const workId = 81298632; const worksViewsPath = "/v0/works/views?subdomain_param=api&work_ids%5B%5D=81298632"; const getWorkViews = async (workId) => { const response = await fetch(worksViewsPath); if (!response.ok) { throw new 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data-author-id="126008217" href="https://independent.academia.edu/PauloCentres">Paulo Centres</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical review. 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