{"paper":{"title":"Bond and Site Percolation in Three Dimensions","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Junfeng Wang, Timothy M. Garoni, Wei Zhang, Youjin Deng, Zongzheng Zhou","submitted_at":"2013-02-02T19:44:12Z","abstract_excerpt":"We simulate the bond and site percolation models on a simple-cubic lattice with linear sizes up to L=512, and estimate the percolation thresholds to be $p_c ({\\rm bond})=0.248\\,811\\,82(10)$ and $p_c ({\\rm site})=0.311\\,607\\,7(2)$. By performing extensive simulations at these estimated critical points, we then estimate the critical exponents $1/\\nu =1.141\\,0(15)$, $\\beta/\\nu=0.477\\,05(15)$, the leading correction exponent $y_i =-1.2(2)$, and the shortest-path exponent $d_{\\rm min}=1.375\\,6(3)$. Various universal amplitudes are also obtained, including wrapping probabilities, ratios associated w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0421","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}