{
  "id": "1108.5680",
  "version": "v1",
  "published": "2011-08-29T18:08:06.000Z",
  "updated": "2011-08-29T18:08:06.000Z",
  "title": "Potential and Flux Decomposition for Dynamical Systems and Non-Equilibrium Thermodynamics: Curvature, Gauge Field and Generalized Fluctuation-Dissipation Theorem",
  "authors": [
    "Haidong Feng",
    "Jin Wang"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "physics.chem-ph"
  ],
  "abstract": "The driving force of the dynamical system can be decomposed into the gradient of a potential landscape and curl flux (current). The fluctuation-dissipation theorem (FDT) is often applied to near equilibrium systems with detailed balance. The response due to a small perturbation can be expressed by a spontaneous fluctuation. For non-equilibrium systems, we derived a generalized FDT that the response function is composed of two parts: (1) a spontaneous correlation representing the relaxation which is present in the near equilibrium systems with detailed balance; (2) a correlation related to the persistence of the curl flux in steady state, which is also in part linked to a internal curvature of a gauge field. The generalized FDT is also related to the fluctuation theorem. In the equal time limit, the generalized FDT naturally leads to non-equilibrium thermodynamics where the entropy production rate can be decomposed into spontaneous relaxation driven by gradient force and house keeping contribution driven by the non-zero flux that sustains the non-equilibrium environment and breaks the detailed balance.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-08-29T18:08:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.70.Ln",
      "11.15.-q",
      "05.40.-a",
      "05.70.Ce"
    ],
    "keywords": [
      "generalized fluctuation-dissipation theorem",
      "non-equilibrium thermodynamics",
      "gauge field",
      "dynamical system",
      "flux decomposition"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1063/1.3669448",
      "journal": "Journal of Chemical Physics",
      "year": 2011,
      "month": "Dec",
      "volume": 135,
      "number": 23,
      "pages": 4511
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JChPh.135w4511F"
    }
  }
}