{"paper":{"title":"Hidden temperature in the KMP model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"math.PR","authors_text":"Anna De Masi, Davide Gabrielli, Pablo A. Ferrari","submitted_at":"2023-10-02T22:02:59Z","abstract_excerpt":"In the Kipnis Marchioro Presutti (KMP) model a positive energy $\\zeta_i$ is associated with each vertex $i$ of a finite graph with a boundary. When a Poisson clock rings at an edge $ij$ with energies $\\zeta_i,\\zeta_j$, those values are substituted by $U(\\zeta_i+\\zeta_j)$ and $(1-U)(\\zeta_i+\\zeta_j)$, respectively, where $U$ is a uniform random variable in $(0,1)$. A value $T_j\\ge 0$ is fixed at each boundary vertex $j$. The dynamics is defined in such way that the resulting Markov process $\\zeta(t)$, satisfies that $\\zeta_j(t)$ is exponential with mean $T_j$, for each boundary vertex $j$, for "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.01672","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2310.01672/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}