{
  "id": "cond-mat/0204430",
  "version": "v4",
  "published": "2002-04-19T13:45:18.000Z",
  "updated": "2007-03-20T20:49:51.000Z",
  "title": "Percolation transition in the Bose gas II",
  "authors": [
    "Andras Suto"
  ],
  "comment": "The paper is completed with the proof of Eq. (34) and with a remark after Eq. (44) on the existence for any m>ln(rho/rho_0) of an infinite cycle which contains a fraction between exp{-(m+1)} and exp{-m} of the total number of particles",
  "journal": "J. Phys. A: Math. Gen. 35 (2002) 6995-7002",
  "doi": "10.1088/0305-4470/35/33/303",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In an earlier paper (J. Phys. A: Math. Gen. 26 (1993) 4689) we introduced the notion of cycle percolation in the Bose gas and conjectured that it occurs if and only if there is Bose-Einstein condensation. Here we give a complete proof of this statement for the perfect and the imperfect (mean-field) Bose gas and also show that in the condensate there is an infinite number of macroscopic cycles.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2007-03-20T20:49:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bose gas",
      "percolation transition",
      "infinite number",
      "earlier paper",
      "complete proof"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}