{
  "id": "0911.0569",
  "version": "v1",
  "published": "2009-11-03T12:44:43.000Z",
  "updated": "2009-11-03T12:44:43.000Z",
  "title": "Steady-State Dynamics of the Forest Fire Model on Complex Networks",
  "authors": [
    "Jean-Daniel Bancal",
    "Romualdo Pastor-Satorras"
  ],
  "comment": "13 pages, 9 figures",
  "categories": [
    "cond-mat.stat-mech",
    "physics.soc-ph"
  ],
  "abstract": "Many sociological networks, as well as biological and technological ones, can be represented in terms of complex networks with a heterogeneous connectivity pattern. Dynamical processes taking place on top of them can be very much influenced by this topological fact. In this paper we consider a paradigmatic model of non-equilibrium dynamics, namely the forest fire model, whose relevance lies in its capacity to represent several epidemic processes in a general parametrization. We study the behavior of this model in complex networks by developing the corresponding heterogeneous mean-field theory and solving it in its steady state. We provide exact and approximate expressions for homogeneous networks and several instances of heterogeneous networks. A comparison of our analytical results with extensive numerical simulations allows to draw the region of the parameter space in which heterogeneous mean-field theory provides an accurate description of the dynamics, and enlights the limits of validity of the mean-field theory in situations where dynamical correlations become important.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-03T12:44:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex networks",
      "steady-state dynamics",
      "corresponding heterogeneous mean-field theory",
      "accurate description",
      "parameter space"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1140/epjb/e2010-00165-7",
      "journal": "European Physical Journal B",
      "year": 2010,
      "month": "Jul",
      "volume": 76,
      "number": 1,
      "pages": 109
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010EPJB...76..109B"
    }
  }
}