{
  "id": "2002.05117",
  "version": "v1",
  "published": "2020-02-11T18:02:53.000Z",
  "updated": "2020-02-11T18:02:53.000Z",
  "title": "High order derivatives of Boltzmann microcanonical entropy with an additional conserved quantity",
  "authors": [
    "Ghofrane Bel Hadj Aissa"
  ],
  "comment": "9 pages",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "In this article, using a known method, a computation is performed of the derivatives of the microcanonical entropy, with respect to the energy up to the 4-th order, using a Laplace transform technique, and adapted it to the case where the total momentum is conserved. The outcome of this computation answers a theoretical question concerning the description of thermodynamics associated with a Hamiltonian flow in presence of an additional conserved quantity besides energy. This is also of practical interest in numerical simulations of the microcanonical thermodynamics associated to classical Hamiltonian flows.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-11T18:02:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "additional conserved quantity",
      "high order derivatives",
      "boltzmann microcanonical entropy",
      "laplace transform technique",
      "computation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}