{
  "id": "1502.01360",
  "version": "v1",
  "published": "2015-02-04T21:16:57.000Z",
  "updated": "2015-02-04T21:16:57.000Z",
  "title": "Properties of the Virial Expansion and Equation of State of Ideal Quantum Gases in Arbitrary Dimensions",
  "authors": [
    "Kåre Olaussen",
    "Asle Sudbø"
  ],
  "comment": "23 pages, 13 figures",
  "journal": "Transactions of The Royal Norwegian Society of Sciences and Letters, 2014(3) 115--135",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The virial expansion of ideal quantum gases reveals some interesting and amusing properties when considered as a function of dimensionality $d$. In particular, the convergence radius $\\rho_c(d)$ of the expansion is particulary large at {\\em exactly\\/} $d=3$ dimensions, $\\rho_c(3) = 7.1068\\ldots \\times \\lim_{d\\to3} \\rho_c(d)$. The same phenomenon occurs in a few other special (non-integer) dimensions. We explain the origin of these facts, and discuss more generally the structure of singularities governing the asymptotic behavior of the ideal gas virial expansion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-04T21:16:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ideal quantum gases",
      "arbitrary dimensions",
      "properties",
      "ideal gas virial expansion",
      "particulary large"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150201360O"
    }
  }
}