{ "id": "1201.0904", "version": "v2", "published": "2012-01-04T14:46:52.000Z", "updated": "2012-02-10T15:05:06.000Z", "title": "Non-equilibrium thermodynamics of stochastic systems with odd and even variables", "authors": [ "Richard E. Spinney", "Ian J. Ford" ], "categories": [ "cond-mat.stat-mech" ], "abstract": "The total entropy production of stochastic systems can be divided into three quantities. The first corresponds to the excess heat, whilst the second two comprise the house-keeping heat. We denote these two components the transient and generalised house-keeping heat and we obtain an integral fluctuation theorem for the latter, valid for all Markovian stochastic dynamics. A previously reported formalism is obtained when the stationary probability distribution is symmetric for all variables that are odd under time reversal which restricts consideration of directional variables such as velocity.", "revisions": [ { "version": "v2", "updated": "2012-02-10T15:05:06.000Z" } ], "analyses": { "subjects": [ "05.70.Ln", "05.40.-a" ], "keywords": [ "stochastic systems", "non-equilibrium thermodynamics", "total entropy production", "markovian stochastic dynamics", "integral fluctuation theorem" ], "tags": [ "journal article" ], "publication": { "doi": "10.1103/PhysRevLett.108.170603", "journal": "Physical Review Letters", "year": 2012, "month": "Apr", "volume": 108, "number": 17, "pages": 170603 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012PhRvL.108q0603S" } } }