{ "id": "1111.5798", "version": "v2", "published": "2011-11-24T15:28:23.000Z", "updated": "2012-03-09T15:45:37.000Z", "title": "Non-equilibrium fluctuations in a driven stochastic Lorentz gas", "authors": [ "G. Gradenigo", "U. Marini Bettolo Marconi", "A. Puglisi", "A. Sarracino" ], "comment": "6 pages, 4 figures", "journal": "Phys. Rev. E 85, 031112 (2012)", "doi": "10.1103/PhysRevE.85.031112", "categories": [ "cond-mat.stat-mech" ], "abstract": "We study the stationary state of a one-dimensional kinetic model where a probe particle is driven by an external field E and collides, elastically or inelastically, with a bath of particles at temperature T. We focus on the stationary distribution of the velocity of the particle, and of two estimates of the total entropy production \\Delta s_tot. One is the entropy production of the medium \\Delta s_m, which is equal to the energy exchanged with the scatterers, divided by a parameter \\theta, coinciding with the particle temperature at E=0. The other is the work W done by the external field, again rescaled by \\theta. At small E, a good collapse of the two distributions is found: in this case the two quantities also verify the Fluctuation Relation (FR), indicating that both are good approximations of \\Delta s_tot. Differently, for large values of E, the fluctuations of W violate the FR, while \\Delta s_m still verifies it.", "revisions": [ { "version": "v2", "updated": "2012-03-09T15:45:37.000Z" } ], "analyses": { "subjects": [ "05.40.-a", "02.50.Ey", "05.70.Ln" ], "keywords": [ "driven stochastic lorentz gas", "non-equilibrium fluctuations", "external field", "one-dimensional kinetic model", "total entropy production" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review E", "year": 2012, "month": "Mar", "volume": 85, "number": 3, "pages": "031112" }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012PhRvE..85c1112G" } } }