{
  "id": "2204.02816",
  "version": "v1",
  "published": "2022-04-02T15:04:56.000Z",
  "updated": "2022-04-02T15:04:56.000Z",
  "title": "Perturbation Theory in a Microcanonical Ensemble",
  "authors": [
    "Ritapriya Pradhan",
    "Jayanta K. Bhattacharjee"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The microcanonical ensemble is a natural starting point of statistical mechanics. However, when it comes to perturbation theory in statistical mechanics, traditionally only the canonical and grand canonical ensembles have been used. In this article we show how the microcanonical ensemble can be directly used to carry out perturbation theory for both non-interacting and interacting systems. We obtain the first non-trivial order answers for the specific heat of anharmonic oscillators and for the virial expansion in real gases. They are in exact agreement with the results obtained from the canonical ensemble.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-02T15:04:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "perturbation theory",
      "microcanonical ensemble",
      "first non-trivial order answers",
      "statistical mechanics",
      "grand canonical ensembles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}