{ "id": "1302.1013", "version": "v2", "published": "2013-02-05T12:37:22.000Z", "updated": "2013-03-25T10:00:41.000Z", "title": "Strong fluctuation theorem for nonstationary nonequilibrium systems", "authors": [ "David Luposchainsky", "Andre Cardoso Barato", "Haye Hinrichsen" ], "comment": "LaTeX, 6 pages, 1 png figure, 2 pdf figures", "journal": "Phys. Rev. E 87, 042108 (2013)", "doi": "10.1103/PhysRevE.87.042108", "categories": [ "cond-mat.stat-mech" ], "abstract": "We introduce a finite-time detailed fluctuation theorem for the environmental entropy of the form $\\tilde P(\\Delta S_{env}) = e^{\\Delta S_{env}} \\tilde P(-\\Delta S_{env})$ for an appropriately weighted probability density of the external entropy production in the environment. The fluctuation theorem is valid for nonequilibrium systems with constant rates starting with an arbitrary initial probability distribution. We discuss the implication of this new relation for the case of a temperature quench in classical equilibrium systems. The fluctuation theorem is tested numerically for a Markov jump process with six states and for a surface growth model.", "revisions": [ { "version": "v2", "updated": "2013-03-25T10:00:41.000Z" } ], "analyses": { "subjects": [ "05.40.-a", "74.40.Gh", "05.70.-a" ], "keywords": [ "nonstationary nonequilibrium systems", "strong fluctuation theorem", "arbitrary initial probability distribution", "external entropy production", "finite-time detailed fluctuation theorem" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review E", "year": 2013, "month": "Apr", "volume": 87, "number": 4, "pages": "042108" }, "note": { "typesetting": "PDFLaTeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013PhRvE..87d2108L" } } }