{
  "id": "1102.2973",
  "version": "v1",
  "published": "2011-02-15T05:57:44.000Z",
  "updated": "2011-02-15T05:57:44.000Z",
  "title": "Non-equilibrium fluctuations for linear diffusion dynamics",
  "authors": [
    "Chulan Kwon",
    "Jae Dong Noh",
    "Hyunggyu Park"
  ],
  "comment": "13 pages",
  "journal": "Phys. Rev. E 83, 061145 (2011)",
  "doi": "10.1103/PhysRevE.83.061145",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We present the theoretical study on non-equilibrium (NEQ) fluctuations for diffusion dynamics in high dimensions driven by a linear drift force. We consider a general situation in which NEQ is caused by two conditions: (i) drift force not derivable from a potential function and (ii) diffusion matrix not proportional to the unit matrix, implying non-identical and correlated multi-dimensional noise. The former is a well-known NEQ source and the latter can be realized in the presence of multiple heat reservoirs or multiple noise sources. We develop a statistical mechanical theory based on generalized thermodynamic quantities such as energy, work, and heat. The NEQ fluctuation theorems are reproduced successfully. We also find the time-dependent probability distribution function exactly as well as the NEQ work production distribution $P({\\mathcal W})$ in terms of solutions of nonlinear differential equations. In addition, we compute low-order cumulants of the NEQ work production explicitly. In two dimensions, we carry out numerical simulations to check out our analytic results and also to get $P({\\mathcal W})$. We find an interesting dynamic phase transition in the exponential tail shape of $P({\\mathcal W})$, associated with a singularity found in solutions of the nonlinear differential equation. Finally, we discuss possible realizations in experiments.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-15T05:57:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.70.Ln",
      "05.10.Gg",
      "05.40.-a"
    ],
    "keywords": [
      "linear diffusion dynamics",
      "non-equilibrium fluctuations",
      "nonlinear differential equation",
      "probability distribution function",
      "drift force"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2011,
      "month": "Jun",
      "volume": 83,
      "number": 6,
      "pages": "061145"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011PhRvE..83f1145K"
    }
  }
}