{
  "id": "0804.3443",
  "version": "v1",
  "published": "2008-04-22T04:04:27.000Z",
  "updated": "2008-04-22T04:04:27.000Z",
  "title": "Geometric variations of the Boltzmann entropy",
  "authors": [
    "Nikos Kalogeropoulos"
  ],
  "comment": "9 pages, no figures",
  "journal": "Mod.Phys.Lett.B22:1447-1454,2008",
  "doi": "10.1142/S0217984908016169",
  "categories": [
    "cond-mat.stat-mech",
    "gr-qc",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We perform a calculation of the first and second order infinitesimal variations, with respect to energy, of the Boltzmann entropy of constant energy hypersurfaces of a system with a finite number of degrees of freedom. We comment on the stability interpretation of the second variation in this framework.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-22T04:04:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.40.Vh",
      "02.40.Ky",
      "05.20.Gg"
    ],
    "keywords": [
      "boltzmann entropy",
      "geometric variations",
      "second order infinitesimal variations",
      "constant energy hypersurfaces",
      "second variation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Modern Physics Letters B",
      "year": 2008,
      "volume": 22,
      "number": 15,
      "pages": 1447
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 783979,
      "adsabs": "2008MPLB...22.1447K"
    }
  }
}