{
  "id": "cond-mat/0311438",
  "version": "v1",
  "published": "2003-11-19T08:49:52.000Z",
  "updated": "2003-11-19T08:49:52.000Z",
  "title": "Generalized thermostatistics based on deformed exponential and logarithmic functions",
  "authors": [
    "Jan Naudts"
  ],
  "comment": "Invited talk at Next2003, uses Elsevier LaTeX macros",
  "journal": "Physica A340, 32-40 (2004)",
  "doi": "10.1016/j.physa.2004.03.074",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The equipartition theorem states that inverse temperature equals the log-derivative of the density of states. This relation can be generalized by introducing a proportionality factor involving an increasing positive function phi(x). It is shown that this assumption leads to an equilibrium distribution of the Boltzmann-Gibbs form with the exponential function replaced by a deformed exponential function. In this way one obtains a formalism of generalized thermostatistics introduced previously by the author. It is shown that Tsallis' thermostatistics, with a slight modification, is the most obvious example of this formalism and corresponds with the choice phi(x)=x^q.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-11-19T08:49:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized thermostatistics",
      "logarithmic functions",
      "equipartition theorem states",
      "inverse temperature equals",
      "deformed exponential function"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physica A Statistical Mechanics and its Applications",
      "year": 2004,
      "month": "Sep",
      "volume": 340,
      "number": 1,
      "pages": 32
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004PhyA..340...32N"
    }
  }
}