{"paper":{"title":"Monte-Carlo study of anisotropic scaling generated by disorder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Bertrand Berche, Maxym Dudka, Oleg Vasilyev, Yurij Holovatch","submitted_at":"2015-04-28T18:10:33Z","abstract_excerpt":"We analyze the critical properties of the three-dimensional Ising model with linear parallel extended defects. Such a form of disorder produces two distinct correlation lengths, a parallel correlation length $\\xi_\\parallel$ in the direction along defects, and a perpendicular correlation length $\\xi_\\perp$ in the direction perpendicular to the lines. Both $\\xi_\\parallel$ and $\\xi_\\perp$ diverge algebraically in the vicinity of the critical point, but the corresponding critical exponents $\\nu_\\parallel$ and $\\nu_\\perp$ take different values. This property is specific for anisotropic scaling and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.07588","kind":"arxiv","version":1},"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"}