{ "id": "cond-mat/0106464", "version": "v2", "published": "2001-06-22T13:39:21.000Z", "updated": "2001-07-09T13:14:12.000Z", "title": "Statistical Mechanics of Entropy Production: Gibbsian hypothesis and local fluctuations", "authors": [ "C. Maes" ], "comment": "Corrected typos and some minor additional comments", "categories": [ "cond-mat.stat-mech", "nlin.CD" ], "abstract": "It is argued that a Gibbsian formula for the space-time distribution of microscopic trajectories of a nonequilibrium system provides a unifying framework for recent results on the fluctuations of the entropy production. The variable entropy production is naturally expressed as the time-reversal symmetry breaking part of the space-time action functional. Its mean is always positive. This is both supported by a Boltzmann type analysis by counting the change in phase space extension corresponding to the macrostate as by various examples of nonequilibrium models. As the Gibbsian set-up allows for non-Markovian dynamics, we also get a local fluctuation theorem for the entropy production in globally Markovian models. In order to study the response of the system to perturbations, we can apply the standard Gibbs formalism.", "revisions": [ { "version": "v2", "updated": "2001-07-09T13:14:12.000Z" } ], "analyses": { "keywords": [ "entropy production", "gibbsian hypothesis", "statistical mechanics", "standard gibbs formalism", "boltzmann type analysis" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001cond.mat..6464M" } } }