{
  "id": "2211.02455",
  "version": "v1",
  "published": "2022-11-04T13:40:32.000Z",
  "updated": "2022-11-04T13:40:32.000Z",
  "title": "A short derivation of Boltzmann distribution and Gibbs entropy formula from the fundamental postulate",
  "authors": [
    "Didier Lairez"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "physics.chem-ph"
  ],
  "abstract": "Introducing the Boltzmann distribution very early in a statistical thermodynamics course (in the spirit of Feynmann) has many didactic advantages, in particular that of easily deriving the Gibbs entropy formula. In this note, a short derivation is proposed from the fundamental postulate of statistical mechanics and basics calculations accessible to undergraduate students.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-04T13:40:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gibbs entropy formula",
      "boltzmann distribution",
      "fundamental postulate",
      "short derivation",
      "statistical thermodynamics course"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}