{
  "id": "1311.4368",
  "version": "v1",
  "published": "2013-11-18T13:24:00.000Z",
  "updated": "2013-11-18T13:24:00.000Z",
  "title": "Time to absorption for a heterogeneous neutral competition model",
  "authors": [
    "Claudio Borile",
    "Paolo Dai Pra",
    "Markus Fischer",
    "Marco Formentin",
    "Amos Maritan"
  ],
  "comment": "12 pages",
  "categories": [
    "math.PR",
    "q-bio.PE"
  ],
  "abstract": "Neutral models aspire to explain biodiversity patterns in ecosystems where species difference can be neglected, as it might occur at a specific trophic level, and perfect symmetry is assumed between species. Voter-like models capture the essential ingredients of the neutral hypothesis and represent a paradigm for other disciplines like social studies and chemical reactions. In a system where each individual can interact with all the other members of the community, the typical time to reach an absorbing state with a single species scales linearly with the community size. Here we show, by using a rigorous approach within a large deviation principle and confirming previous approximate and numerical results, that in a heterogeneous voter model the typical time to reach an absorbing state scales exponentially with the system size, suggestive of an asymptotic active phase.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-18T13:24:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heterogeneous neutral competition model",
      "absorption",
      "explain biodiversity patterns",
      "specific trophic level",
      "large deviation principle"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s10955-014-0989-8",
      "journal": "Journal of Statistical Physics",
      "year": 2014,
      "month": "Jul",
      "volume": 156,
      "number": 1,
      "pages": 119
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014JSP...156..119B"
    }
  }
}