{"paper":{"title":"Microscopic models for uphill diffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Anna De Masi, Errico Presutti, Matteo Colangeli","submitted_at":"2017-05-04T13:01:52Z","abstract_excerpt":"We study a system of particles which jump on the sites of the interval $[1,L]$ of $\\mathbb Z$. The density at the boundaries is kept fixed to simulate the action of mass reservoirs. The evolution depends on two parameters $\\lambda'\\ge 0$ and $\\lambda\"\\ge 0$ which are the strength of an external potential and respectively of an attractive potential among the particles. When $\\lambda'=\\lambda\"= 0$ the system behaves diffusively and the density profile of the final stationary state is linear, Fick's law is satisfied. When $\\lambda'> 0$ and $\\lambda\"= 0$ the system models the diffusion of carbon i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01825","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"}