{
  "id": "2307.00340",
  "version": "v1",
  "published": "2023-07-01T13:38:11.000Z",
  "updated": "2023-07-01T13:38:11.000Z",
  "title": "On relation between renormalized frequency and heat capacity for particles in an anharmonic potential",
  "authors": [
    "Y. T. Liu",
    "Y. H. Zhao",
    "Y. Zhong",
    "J. M. Shen",
    "J. H. Zhang",
    "Q. H. Liu"
  ],
  "comment": "9 pages, no figure. arXiv admin note: text overlap with arXiv:2210.00906",
  "doi": "10.1016/j.aop.2023.169405",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "For free particles in a simple harmonic potential plus a weak anharmonicity, characterized by a set of anharmonic parameters, Newtonian mechanics asserts that there is a renormalization of the natural frequency of the periodic motion; and statistical mechanics claims that the anharmonicity causes a correction to the heat capacity of an ideal gas in the anharmonic potential. The orbital motion and thermal motion depend on the same anharmonic parameters, but in different combinations. These two manners of combinations are fundamentally different, demonstrating that statistical law can not emerge from the many-body limit of deterministic law for one-body.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-01T13:38:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heat capacity",
      "anharmonic potential",
      "renormalized frequency",
      "simple harmonic potential plus",
      "anharmonic parameters"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}