{
  "id": "0911.1266",
  "version": "v3",
  "published": "2009-11-06T14:38:28.000Z",
  "updated": "2010-06-09T12:56:26.000Z",
  "title": "Numerical analysis of the rebellious voter model",
  "authors": [
    "Jan M. Swart",
    "Karel Vrbensky"
  ],
  "comment": "Compared to last version, only minor changes in Figure 10. 26 pages. 20 figures. A black and white version of the manuscript and the raw data and variables plotted in the figures are available from the homepage of the first author",
  "journal": "J. Stat. Phys. 140(5) (2010) 873-899",
  "doi": "10.1007/s10955-010-0021-x",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP",
    "physics.soc-ph"
  ],
  "abstract": "The rebellious voter model, introduced by Sturm and Swart (2008), is a variation of the standard, one-dimensional voter model, in which types that are locally in the minority have an advantage. It is related, both through duality and through the evolution of its interfaces, to a system of branching annihilating random walks that is believed to belong to the `parity-conservation' universality class. This paper presents numerical data for the rebellious voter model and for a closely related one-sided version of the model. Both models appear to exhibit a phase transition between noncoexistence and coexistence as the advantage for minority types is increased. For the one-sided model (but not for the original, two-sided rebellious voter model), it appears that the critical point is exactly a half and two important functions of the process are given by simple, explicit formulas, a fact for which we have no explanation.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-06-09T12:56:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82C22",
      "65C05",
      "82C26",
      "60K35"
    ],
    "keywords": [
      "numerical analysis",
      "one-dimensional voter model",
      "important functions",
      "two-sided rebellious voter model",
      "minority types"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Physics",
      "year": 2010,
      "month": "Sep",
      "volume": 140,
      "number": 5,
      "pages": 873
    },
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JSP...140..873S"
    }
  }
}