{"paper":{"title":"Coupling, Attractiveness and Hydrodynamics for Conservative Particle Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Ellen Saada (LMRS), Thierry Gobron (LPTM)","submitted_at":"2009-03-02T15:20:13Z","abstract_excerpt":"Attractiveness is a fundamental tool to study interacting particle systems and the basic coupling construction is a usual route to prove this property, as for instance in simple exclusion. The derived Markovian coupled process $(\\xi_t,\\zeta_t)_{t\\geq 0}$ satisfies: (A) if $\\xi_0\\leq\\zeta_0$ (coordinate-wise), then for all $t\\geq 0$, $\\xi_t\\leq\\zeta_t$ a.s. In this paper, we consider generalized misanthrope models which are conservative particle systems on $\\Z^d$ such that, in each transition, $k$ particles may jump from a site $x$ to another site $y$, with $k\\geq 1$. These models include simpl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.0316","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"}