{
  "id": "cond-mat/0412683",
  "version": "v1",
  "published": "2004-12-24T16:52:24.000Z",
  "updated": "2004-12-24T16:52:24.000Z",
  "title": "Boltzmann entropy and the microcanonical ensemble",
  "authors": [
    "Jan Naudts"
  ],
  "comment": "8 pages, accepted for publication in Europhysics Letters, www.epletters.ch",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Boltzmann's entropy is slightly modified to make it suitable for discussing phase transitions in finite systems. As an example it is shown that the pendulum undergoes a second order phase transition when passing from a vibrational to a rotating state.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-12-24T16:52:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boltzmann entropy",
      "microcanonical ensemble",
      "second order phase transition",
      "pendulum undergoes",
      "discussing phase transitions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}