{
  "id": "1405.0697",
  "version": "v2",
  "published": "2014-05-04T13:48:50.000Z",
  "updated": "2014-12-25T06:44:43.000Z",
  "title": "Exact equalities and thermodynamic relations for nonequilibrium steady states",
  "authors": [
    "Teruhisa S. Komatsu",
    "Naoko Nakagawa",
    "Shin-ichi Sasa",
    "Hal Tasaki"
  ],
  "comment": "58 pages, 8 figures; many small improvements have been made in version 2",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study thermodynamic operations which bring a nonequilibrium steady state (NESS) to another NESS in physical systems under nonequilibrium conditions. We model the system by a suitable Markov jump process, and treat thermodynamic operations as protocols according to which the external agent varies parameters of the Markov process. Then we prove, among other relations, a NESS version of the Jarzynski equality and the extended Clausius relation. The latter can be a starting point of thermodynamics for NESS. We also find that the corresponding nonequilibrium entropy has a microscopic representation in terms of symmetrized Shannon entropy in systems where the microscopic description of states involves \"momenta\". All the results in the present paper are mathematically rigorous.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-04T13:48:50.000Z",
      "comment": "54 pages, 8 figures",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-12-25T06:44:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonequilibrium steady state",
      "thermodynamic relations",
      "exact equalities",
      "external agent varies parameters",
      "suitable markov jump process"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s10955-015-1221-1",
      "journal": "Journal of Statistical Physics",
      "year": 2015,
      "month": "Jun",
      "pages": 1237,
      "volume": 159,
      "number": 6
    },
    "note": {
      "typesetting": "TeX",
      "pages": 58,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015JSP...159.1237K"
    }
  }
}