{"paper":{"title":"Hydrodynamic Limit for the SSEP with a Slow Membrane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Mariana Tavares, Tertuliano Franco","submitted_at":"2018-09-21T01:47:36Z","abstract_excerpt":"In this paper we consider a symmetric simple exclusion process (SSEP) on the $d$-dimensional discrete torus $\\mathbb{T}^d_N$ with a spatial non-homogeneity given by a slow membrane. The slow membrane is defined here as the boundary of a smooth simple connected region $\\Lambda$ on the continuous $d$-dimensional torus $\\mathbb{T}^d$. In this setting, bonds crossing the membrane have jump rate $\\alpha/N^\\beta$ and all other bonds have jump rate one, where $\\alpha>0$, $\\beta\\in[0,\\infty]$, and $N\\in \\mathbb{N}$ is the scaling parameter. In the diffusive scaling we prove that the hydrodynamic limit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.07911","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"}