{
  "id": "cond-mat/0703762",
  "version": "v1",
  "published": "2007-03-28T17:35:05.000Z",
  "updated": "2007-03-28T17:35:05.000Z",
  "title": "Non equilibrium steady states: fluctuations and large deviations of the density and of the current",
  "authors": [
    "B. Derrida"
  ],
  "comment": "35 pages, 9 figures",
  "doi": "10.1088/1742-5468/2007/07/P07023",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "These lecture notes give a short review of methods such as the matrix ansatz, the additivity principle or the macroscopic fluctuation theory, developed recently in the theory of non-equilibrium phenomena. They show how these methods allow to calculate the fluctuations and large deviations of the density and of the current in non-equilibrium steady states of systems like exclusion processes. The properties of these fluctuations and large deviation functions in non-equilibrium steady states (for example non-Gaussian fluctuations of density or non-convexity of the large deviation function which generalizes the notion of free energy) are compared with those of systems at equilibrium.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-03-28T17:35:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non equilibrium steady states",
      "large deviation function",
      "non-equilibrium steady states",
      "macroscopic fluctuation theory",
      "example non-gaussian fluctuations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}