{ "id": "1507.06269", "version": "v1", "published": "2015-07-22T17:47:40.000Z", "updated": "2015-07-22T17:47:40.000Z", "title": "Analysis of slow transitions between nonequilibrium steady states", "authors": [ "Dibyendu Mandal", "Christopher Jarzynski" ], "comment": "(5 + 3) pages", "categories": [ "cond-mat.stat-mech" ], "abstract": "Transitions between nonequilibrium steady states obey a generalized Clausius inequality, which becomes an equality in the quasistatic limit. For slow but finite transitions, we show that the behavior of the system is described by a response matrix whose elements are given by a far-from-equilibrium Green-Kubo formula, involving the decay of correlations evaluated in the nonequilibrium steady state. This result leads to a fluctuation-dissipation relation between the mean and variance of the nonadiabatic entropy production, $\\Delta s_{\\rm na}$. Furthermore, our results extend -- to nonequilibrium steady states -- the thermodynamic metric structure introduced by Sivak and Crooks for analyzing minimal-dissipation protocols for transitions between equilibrium states.", "revisions": [ { "version": "v1", "updated": "2015-07-22T17:47:40.000Z" } ], "analyses": { "keywords": [ "slow transitions", "nonequilibrium steady states obey", "nonadiabatic entropy production", "thermodynamic metric structure", "far-from-equilibrium green-kubo formula" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150706269M" } } }