{
  "id": "cond-mat/0406285",
  "version": "v1",
  "published": "2004-06-11T15:59:34.000Z",
  "updated": "2004-06-11T15:59:34.000Z",
  "title": "Thermodynamic Equivalence of Certain Ideal Bose and Fermi Gases",
  "authors": [
    "Kelly R. Patton",
    "Michael R. Geller",
    "Miles P. Blencowe"
  ],
  "comment": "4 pages, 3 figures, Revtex",
  "doi": "10.1016/j.physa.2005.03.039",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We show that the recently discovered thermodynamic equivalence between noninteracting Bose and Fermi gases in two dimensions, and between one-dimensional Bose and Fermi systems with linear dispersion, both in the grand-canonical ensemble, are special cases of a larger class of equivalences of noninteracting systems having an energy-independent single-particle density of states. We also conjecture that the same equivalence will hold in the grand-canonical ensemble for any noninteracting quantum gas with a discrete ladder-type spectrum whenever $\\sigma \\Delta / N k_{\\rm B} T$ is small, where $N$ is the average particle number and $\\sigma$ its standard deviation, $\\Delta$ is the level spacing, $k_{\\rm B}$ is Boltzmann's constant, and $T$ is the temperature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-06-11T15:59:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fermi gases",
      "thermodynamic equivalence",
      "ideal bose",
      "average particle number",
      "discrete ladder-type spectrum"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}