{"paper":{"title":"Phase transitions in layered systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Domingos H. U. Marchetti, Errico Presutti, Immacolata Merola, Luiz Renato Fontes, Maria Eulalia Vares","submitted_at":"2014-06-12T17:26:22Z","abstract_excerpt":"We consider the Ising model on the two-dimensional square lattice where on each horizontal line, called \"layer\", the interaction is given by a ferromagnetic Kac potential with coupling strength $J_\\gamma(x,y)=\\gamma J(\\gamma(x-y))$, where $J(\\cdot)$ is smooth and has compact support; we then add a nearest neighbor ferromagnetic vertical interaction of strength $\\gamma^{A}$ (where $A\\ge 2$ is fixed) and prove that for any $\\beta$ (inverse temperature) larger than the mean field critical value there is a phase transition for all $\\gamma$ small enough."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3293","kind":"arxiv","version":2},"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"}