{
  "id": "cond-mat/0106191",
  "version": "v2",
  "published": "2001-06-11T08:09:08.000Z",
  "updated": "2001-10-01T10:54:45.000Z",
  "title": "Injected Power Fluctuations in Langevin Equation",
  "authors": [
    "Jean Farago"
  ],
  "comment": "submitted to J. Stat. Phys; new version deeply changed; new results added (17 pages)",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "In this paper, we consider the Langevin equation from an unusual point of view, that is as an archetype for a dissipative system driven out of equilibrium by an external excitation. Using path integral method, we compute exactly the probability density function of the power (averaged over a time interval of length $\\tau$) injected (and dissipated) by the random force into a Brownian particle driven by a Langevin equation. The resulting distribution, as well as the associated large deviation function, display strong asymmetry, whose origin is explained. Connections with the so-called ``Fluctuation Theorem'' are thereafter discussed. Finally, considering Langevin equations with a pinning potential, we show that the large deviation function associated with the injected power is \\textit{completely} \\textit{insensitive} to the presence of a potential.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-10-01T10:54:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "langevin equation",
      "injected power fluctuations",
      "associated large deviation function",
      "probability density function",
      "brownian particle driven"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}