{"paper":{"title":"Path-wise versus kinetic modeling for equilibrating non-Langevin jump-type processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Mariusz \\.Zaba, Piotr Garbaczewski, Vladimir Stephanovich","submitted_at":"2013-06-17T13:49:58Z","abstract_excerpt":"We discuss two independent methods of solution of a master equation whose biased jump transition rates account for long jumps of L\\'{e}vy-stable type and nonetheless admit a Boltzmannian (thermal) equilibrium to arise in the large time asymptotics of a probability density function $\\rho (x,t)$. Our main goal is to demonstrate a compatibility of a {\\it direct} solution method (an explicit, albeit numerically assisted, integration of the master equation) with an {\\it indirect} path-wise procedure, recently proposed in [Physica {\\bf A 392}, 3485, (2013)] as a valid tool for a dynamical analysis o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.3858","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"}