{ "id": "1507.06960", "version": "v1", "published": "2015-07-24T19:00:55.000Z", "updated": "2015-07-24T19:00:55.000Z", "title": "Classical thermodynamics from quasi-probabilities", "authors": [ "F. Pennini", "A. Plastino", "M. C. Rocca" ], "comment": "9 pages, 1 figure. To be published in Modern Physics Letters B (2015). arXiv admin note: substantial text overlap with arXiv:1409.4465", "categories": [ "cond-mat.stat-mech", "physics.class-ph" ], "abstract": "The basic idea of a microscopic understanding of Thermodynamics is to derive its main features from a microscopic probability distribution. In such a vein, we investigate the thermal statistics of quasi-probabilities's semi-classical analogs in phase space for the important case of quadratic Hamiltonians, focusing attention in the three more important instances, i.e., those of Wigner, $P$-, and Husimi distributions. Introduction of an effective temperature permits one to obtain a unified thermodynamic description that encompasses and unifies the three different quasi-probability distributions. This unified description turns out to be classical.", "revisions": [ { "version": "v1", "updated": "2015-07-24T19:00:55.000Z" } ], "analyses": { "keywords": [ "classical thermodynamics", "microscopic probability distribution", "husimi distributions", "thermal statistics", "quasi-probabilitiess semi-classical analogs" ], "publication": { "doi": "10.3390/e17127853", "journal": "Entropy", "year": 2015, "month": "Nov", "volume": 17, "number": 12, "pages": 7848 }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015Entrp..17.7848P" } } }