{
  "id": "0805.0380",
  "version": "v1",
  "published": "2008-05-03T20:22:10.000Z",
  "updated": "2008-05-03T20:22:10.000Z",
  "title": "Hydrodynamic limit for a zero-range process in the Sierpinski gasket",
  "authors": [
    "M. Jara"
  ],
  "comment": "24 pages, 1 figure",
  "journal": "Communications in Mathematical Physics, Volume 288, Number 2 / juin 2009, 773-797",
  "doi": "10.1007/s00220-009-0746-z",
  "categories": [
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We prove that the hydrodynamic limit of a zero-range process evolving in graphs approximating the Sierpinski gasket is given by a nonlinear heat equation. We also prove existence and uniqueness of the hydrodynamic equation by considering a finite-difference scheme.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-05-03T20:22:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "28A80",
      "35K55"
    ],
    "keywords": [
      "hydrodynamic limit",
      "sierpinski gasket",
      "nonlinear heat equation",
      "hydrodynamic equation",
      "finite-difference scheme"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2009,
      "month": "Jun",
      "volume": 288,
      "number": 2,
      "pages": 773
    },
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009CMaPh.288..773J"
    }
  }
}