{
  "id": "cond-mat/0212465",
  "version": "v1",
  "published": "2002-12-19T02:04:06.000Z",
  "updated": "2002-12-19T02:04:06.000Z",
  "title": "Anomalous behavior of ideal Fermi gas below two dimensions",
  "authors": [
    "M. Grether",
    "M. de Llano",
    "M. A. Solís"
  ],
  "comment": "14 pages including 3 figures",
  "journal": "Eur. Phys. J. D. 25, 287-291 (2003)",
  "doi": "10.1140/epjd/e2003-00205-7",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "Normal behavior of the thermodynamic properties of a Fermi gas in $d>2$ dimensions, integer or not, means monotonically increasing or decreasing of its specific heat, chemical potential or isothermal sound velocity, all as functions of temperature. However, for $0<d<2$ dimensions these properties develop a ``hump'' (or ``trough'') which increases (or deepens) as $d\\to 0$. Though not the phase transition signaled by the sharp features (``cusp'' or ``jump'') in those properties for the ideal Bose gas in $d>2$ (known as the Bose-Einstein condensation), it is nevertheless an intriguing structural anomaly which we exhibit in detail.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-12-19T02:04:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "71.10.Pm",
      "05.30.Fk",
      "05.70.Ce",
      "71.10.-w",
      "71.10.Ca"
    ],
    "keywords": [
      "ideal fermi gas",
      "anomalous behavior",
      "dimensions",
      "ideal bose gas",
      "isothermal sound velocity"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "European Physical Journal D",
      "year": 2003,
      "month": "Sep",
      "volume": 25,
      "number": 3,
      "pages": 287
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003EPJD...25..287G"
    }
  }
}