{ "id": "1401.7225", "version": "v1", "published": "2014-01-27T20:04:02.000Z", "updated": "2014-01-27T20:04:02.000Z", "title": "Relative entropy, interaction energy and the nature of dissipation", "authors": [ "B. Gaveau", "L. Granger", "M. Moreau", "L. S. Schulman" ], "categories": [ "cond-mat.stat-mech", "math-ph", "math.MP", "physics.chem-ph" ], "abstract": "Many thermodynamic relations involve inequalities, with equality if a process does not involve dissipation. In this article we provide equalities in which the dissipative contribution is shown to involve the relative entropy (a.k.a. Kullback-Leibler divergence). The processes considered are general time evolutions both in classical and quantum mechanics, and the initial state is sometimes thermal, sometimes partially so. By calculating a transport coefficient we show that indeed---at least in this case---the source of dissipation in that coefficient is the relative entropy.", "revisions": [ { "version": "v1", "updated": "2014-01-27T20:04:02.000Z" } ], "analyses": { "keywords": [ "relative entropy", "interaction energy", "dissipation", "general time evolutions", "case-the source" ], "tags": [ "journal article" ], "publication": { "doi": "10.3390/e16063173", "journal": "Entropy", "year": 2014, "month": "Jun", "volume": 16, "number": 6, "pages": 3173 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014Entrp..16.3173G" } } }