{
  "id": "0907.5478",
  "version": "v2",
  "published": "2009-07-31T07:35:26.000Z",
  "updated": "2009-12-15T21:53:40.000Z",
  "title": "Fluctuation-Dissipation Theorem in Nonequilibrium Steady States",
  "authors": [
    "Udo Seifert",
    "Thomas Speck"
  ],
  "comment": "6 pages; EPL, in press",
  "journal": "EPL 89, 10007 (2010)",
  "doi": "10.1209/0295-5075/89/10007",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "In equilibrium, the fluctuation-dissipation theorem (FDT) expresses the response of an observable to a small perturbation by a correlation function of this variable with another one that is conjugate to the perturbation with respect to \\emph{energy}. For a nonequilibrium steady state (NESS), the corresponding FDT is shown to involve in the correlation function a variable that is conjugate with respect to \\emph{entropy}. By splitting up entropy production into one of the system and one of the medium, it is shown that for systems with a genuine equilibrium state the FDT of the NESS differs from its equilibrium form by an additive term involving \\emph{total} entropy production. A related variant of the FDT not requiring explicit knowledge of the stationary state is particularly useful for coupled Langevin systems. The \\emph{a priori} surprising freedom apparently involved in different forms of the FDT in a NESS is clarified.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-12-15T21:53:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonequilibrium steady state",
      "fluctuation-dissipation theorem",
      "entropy production",
      "correlation function",
      "genuine equilibrium state"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "EPL (Europhysics Letters)",
      "year": 2010,
      "month": "Jan",
      "volume": 89,
      "number": 1,
      "pages": 10007
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010EL.....8910007S"
    }
  }
}