{
  "id": "0712.2599",
  "version": "v2",
  "published": "2007-12-16T22:06:03.000Z",
  "updated": "2009-06-12T11:19:44.000Z",
  "title": "Rate of relaxation for a mean-field zero-range process",
  "authors": [
    "Benjamin T. Graham"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/08-AAP549 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Applied Probability 2009, Vol. 19, No. 2, 497-520",
  "doi": "10.1214/08-AAP549",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study the zero-range process on the complete graph. It is a Markov chain model for a microcanonical ensemble. We prove that the process converges to a fluid limit. The fluid limit rapidly relaxes to the appropriate Gibbs distribution.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-06-12T11:19:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82C20"
    ],
    "keywords": [
      "mean-field zero-range process",
      "relaxation",
      "appropriate gibbs distribution",
      "fluid limit rapidly relaxes",
      "markov chain model"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.2599G"
    }
  }
}