{ "id": "0709.2236", "version": "v1", "published": "2007-09-14T09:11:31.000Z", "updated": "2007-09-14T09:11:31.000Z", "title": "Jarzynski Relation, Fluctuation Theorems, and Stochastic Thermodynamics for Non-Markovian Processes", "authors": [ "Thomas Speck", "Udo Seifert" ], "comment": "Accepted for publication in JSM", "journal": "J. Stat. Mech. L09002 (2007)", "doi": "10.1088/1742-5468/2007/09/L09002", "categories": [ "cond-mat.stat-mech" ], "abstract": "We prove the Jarzynski relation for general stochastic processes including non-Markovian systems with memory. The only requirement for our proof is the existence of a stationary state, therefore excluding non-ergodic systems. We then show how the concepts of stochastic thermodynamics can be used to prove further exact non-equilibrium relations like the Crooks relation and the fluctuation theorem on entropy production for non-Markovian dynamics.", "revisions": [ { "version": "v1", "updated": "2007-09-14T09:11:31.000Z" } ], "analyses": { "keywords": [ "stochastic thermodynamics", "jarzynski relation", "fluctuation theorem", "non-markovian processes", "general stochastic processes" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Statistical Mechanics: Theory and Experiment", "year": 2007, "month": "Sep", "volume": 2007, "number": 9 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007JSMTE..09....2S" } } }