{
  "id": "0906.0952",
  "version": "v2",
  "published": "2009-06-04T18:35:43.000Z",
  "updated": "2017-11-08T14:03:05.000Z",
  "title": "The explicit expression of the fugacity for weakly interacting Bose and Fermi gases",
  "authors": [
    "Wu-Sheng Dai",
    "Mi Xie"
  ],
  "comment": "24 pages, 9 figures",
  "journal": "Journal of Mathematical Physics 58, 113502 (2017)",
  "doi": "10.1063/1.5009905",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "In this paper, we calculate the explicit expression for the fugacity for two- and three-dimensional weakly interacting Bose and Fermi gases from their equations of state in isochoric and isobaric processes, respectively, based on the mathematical result of the boundary problem of analytic functions --- the homogeneous Riemann-Hilbert problem. We also discuss the Bose-Einstein condensation phase transition of three-dimensional hard-sphere Bose gases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-04T18:35:43.000Z",
      "title": "The explicit expression of the fugacity for hard-sphere Bose and Fermi gases",
      "abstract": "In this paper, we calculate the explicit expression for the fugacity for three-dimensional hard-sphere Bose and Fermi gases from their equations of state in isochoric and isobaric processes, respectively, based on the mathematical result of the boundary problem of an analytic function -- the homogeneous Riemann-Hilbert problem.",
      "comment": "15 pages, no figure",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2017-11-08T14:03:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fermi gases",
      "explicit expression",
      "three-dimensional hard-sphere bose gases",
      "bose-einstein condensation phase transition",
      "isobaric processes"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "J. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.0952D"
    }
  }
}