{
  "id": "1210.3042",
  "version": "v1",
  "published": "2012-10-10T20:09:30.000Z",
  "updated": "2012-10-10T20:09:30.000Z",
  "title": "Large deviation function for the entropy production: Optimal trajectory and role of fluctuations",
  "authors": [
    "Thomas Speck",
    "Andreas Engel",
    "Udo Seifert"
  ],
  "journal": "J. Stat. Mech. P12001 (2012)",
  "doi": "10.1088/1742-5468/2012/12/P12001",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the large deviation function for the entropy production rate in two driven one-dimensional systems: the asymmetric random walk on a discrete lattice and Brownian motion in a continuous periodic potential. We compare two approaches: the Donsker-Varadhan theory and the Freidlin-Wentzell theory. We show that the wings of the large deviation function are dominated by a single optimal trajectory: either in forward (positive rate) or in backward direction (negative rate). The joining of both branches at zero entropy production implies a non-differentiability and thus the appearance of a \"kink\". However, around zero entropy production many trajectories contribute and thus the kink is smeared out.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-10T20:09:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "large deviation function",
      "zero entropy production implies",
      "fluctuations",
      "entropy production rate",
      "asymmetric random walk"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2012,
      "month": "Dec",
      "volume": 2012,
      "number": 12,
      "pages": 12001
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012JSMTE..12..001S"
    }
  }
}