{
  "id": "cond-mat/0509681",
  "version": "v1",
  "published": "2005-09-27T09:41:57.000Z",
  "updated": "2005-09-27T09:41:57.000Z",
  "title": "Two generalizations of the Boltzmann equation",
  "authors": [
    "T. S. Biro",
    "G. Kaniadakis"
  ],
  "comment": "Talk given at the 3rd NEXT-Sigma-Phi Conference, Crete, Aug.2005, revtex, 10 page, 2 figs",
  "journal": "Eur.Phys.J. B50 (2006) 3",
  "doi": "10.1140/epjb/e2006-00112-3",
  "categories": [
    "cond-mat.stat-mech",
    "hep-ph",
    "nucl-th",
    "physics.comp-ph"
  ],
  "abstract": "We connect two different generalizations of Boltzmann's kinetic theory by requiring the same stationary solution. Non-extensive statistics can be produced by either using corresponding collision rates nonlinear in the one-particle densities or equivalently by using nontrivial energy composition rules in the energy conservation constraint. Direct transformation formulas between key functions of the two approaches are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-09-27T09:41:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "25.75.Nq",
      "05.90.+m",
      "02.70.Ns",
      "05.20.Dd"
    ],
    "keywords": [
      "boltzmann equation",
      "generalizations",
      "nontrivial energy composition rules",
      "direct transformation formulas",
      "energy conservation constraint"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "publication": {
      "journal": "European Physical Journal B",
      "year": 2006,
      "month": "Mar",
      "volume": 50,
      "number": "1-2",
      "pages": 3
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 693458,
      "adsabs": "2006EPJB...50....3B"
    }
  }
}