{
  "id": "1411.2425",
  "version": "v1",
  "published": "2014-11-10T13:45:55.000Z",
  "updated": "2014-11-10T13:45:55.000Z",
  "title": "Uniqueness of Gibbs entropy within the microcanonical formalism",
  "authors": [
    "Michele Campisis"
  ],
  "comment": "4 pages",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "It is a well known fact that, within the classical microcanonical formalism, the Gibbs entropy (alias volume entropy) is a thermodynamically consistent expression of entropy. Building on the concept of uniqueness of Clausius integrating factor for the inexact heat differential (i.e., the existence of a universal temperature scale) here we show that Gibbs entropy is the unique consistent expression. As a consequence negative temperatures are inadmissible within the classical microcanonical formalism.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-10T13:45:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.70.-a",
      "05.20.-y",
      "05.30.-d"
    ],
    "keywords": [
      "gibbs entropy",
      "uniqueness",
      "classical microcanonical formalism",
      "inexact heat differential",
      "universal temperature scale"
    ],
    "publication": {
      "doi": "10.1103/PhysRevE.91.052147",
      "journal": "Physical Review E",
      "year": 2015,
      "month": "May",
      "volume": 91,
      "number": 5,
      "pages": "052147"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015PhRvE..91e2147C"
    }
  }
}