{
  "id": "1101.3669",
  "version": "v2",
  "published": "2011-01-19T11:56:46.000Z",
  "updated": "2011-04-06T05:51:27.000Z",
  "title": "Large deviations of heat flow in harmonic chains",
  "authors": [
    "Anupam Kundu",
    "Sanjib Sabhapandit",
    "Abhishek Dhar"
  ],
  "comment": "15 pages; minor modifications",
  "journal": "J. Stat. Mech. (2011) P03007",
  "doi": "10.1088/1742-5468/2011/03/P03007",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We consider heat transport across a harmonic chain connected at its two ends to white-noise Langevin reservoirs at different temperatures. In the steady state of this system the heat $Q$ flowing from one reservoir into the system in a finite time $\\tau$ has a distribution $P(Q,\\tau)$. We study the large time form of the corresponding moment generating function $<e^{-\\lambda Q}>\\sim g(\\lambda) e^{\\tau\\mu (\\lambda)}$. Exact formal expressions, in terms of phonon Green's functions, are obtained for both $\\mu(\\lambda)$ and also the lowest order correction $g(\\lambda)$. We point out that, in general a knowledge of both $\\mu(\\lambda)$ and $g(\\lambda)$ is required for finding the large deviation function associated with $P(Q,\\tau)$. The function $\\mu(\\lambda)$ is known to be the largest eigenvector of an appropriate Fokker-Planck type operator and our method also gives the corresponding eigenvector exactly.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-04-06T05:51:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "harmonic chain",
      "heat flow",
      "appropriate fokker-planck type operator",
      "large deviation function",
      "white-noise langevin reservoirs"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2011,
      "month": "Mar",
      "volume": 2011,
      "number": 3,
      "pages": 3007
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JSMTE..03..007K"
    }
  }
}