{
  "id": "1002.0282",
  "version": "v2",
  "published": "2010-02-01T16:42:14.000Z",
  "updated": "2010-08-16T11:09:51.000Z",
  "title": "Ergodicity for infinite particle systems with locally conserved quantities",
  "authors": [
    "J. Inglis",
    "M. Neklyudov",
    "B. Zegarlinski"
  ],
  "comment": "34 pages; introduction rewritten, minor corrections, references added",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We analyse certain degenerate infinite dimensional sub-elliptic generators, and obtain estimates on the long-time behaviour of the corresponding Markov semigroups that describe a certain model of heat conduction. In particular, we establish ergodicity of the system for a family of invariant measures, and show that the optimal rate of convergence to equilibrium is polynomial. Consequently, there is no spectral gap, but a Liggett-Nash type inequality is shown to hold.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-08-16T11:09:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82C31",
      "60K35",
      "82C22"
    ],
    "keywords": [
      "infinite particle systems",
      "locally conserved quantities",
      "degenerate infinite dimensional sub-elliptic generators",
      "ergodicity",
      "liggett-nash type inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.0282I"
    }
  }
}