{
  "id": "cond-mat/0405604",
  "version": "v2",
  "published": "2004-05-26T13:28:40.000Z",
  "updated": "2004-10-01T15:08:54.000Z",
  "title": "Phase transitions of extended-range probabilistic cellular automata with two absorbing states",
  "authors": [
    "F. Bagnoli",
    "F. Franci",
    "R. Rechtman"
  ],
  "comment": "New and expanded version",
  "journal": "Phys. Rev. E 71, 046108 (2005)",
  "doi": "10.1103/PhysRevE.71.046108",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study phase transitions in a long-range one-dimensional cellular automaton with two symmetric absorbing states. It includes and extends several other models, like the Ising and Domany-Kinzel ones. It is characterized by a competing ferromagnetic linear coupling and an antiferromagnetic nonlinear one. Despite its simplicity, this model exhibits an extremely rich phase diagram. We present numerical results and mean-field approximations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-10-01T15:08:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "extended-range probabilistic cellular automata",
      "long-range one-dimensional cellular automaton",
      "study phase transitions",
      "extremely rich phase diagram",
      "symmetric absorbing states"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}