{
  "id": "2009.02518",
  "version": "v1",
  "published": "2020-09-05T11:31:59.000Z",
  "updated": "2020-09-05T11:31:59.000Z",
  "title": "On the Generalised Equipartition Law",
  "authors": [
    "Guido Magnano",
    "Beniamino Valsesia"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We observe that the so-called Generalised Equipartition Law for hamiltonian systems is actually valid only under specific hypotheses -- unfortunately omitted in some textbooks -- which limit its applicability when dealing with nonlinear systems. We introduce a new coordinate--independent generalisation which overcomes this problem, and moreover can be applied to a larger set of functions. A simple example of application is discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-05T11:31:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B05",
      "53Z05"
    ],
    "keywords": [
      "generalised equipartition law",
      "simple example",
      "hamiltonian systems",
      "nonlinear systems",
      "coordinate-independent generalisation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}