{
  "id": "cond-mat/9705171",
  "version": "v2",
  "published": "1997-05-17T09:39:33.000Z",
  "updated": "1997-05-20T17:23:52.000Z",
  "title": "Phase Transitions in a Probabilistic Cellular Automaton with Two Absorbing States",
  "authors": [
    "F. Bagnoli",
    "N. Boccara",
    "P. Palmerini"
  ],
  "comment": "7 pages, RevTeX, 10 figures, submitted to J. Phys. A",
  "categories": [
    "cond-mat.stat-mech",
    "comp-gas",
    "nlin.CG"
  ],
  "abstract": "We study the phase diagram and the critical behavior of a one-dimensional radius-1 two-state totalistic probabilistic cellular automaton having two absorbing states. This system exhibits a first-order phase transition between the fully occupied state and the empty state, two second-order phase transitions between a partially occupied state and either the fully occupied state or the empty state, and a second-order damage-spreading phase transition. It is found that all the second-order phase transitions have the same critical behavior as the directed percolation model. The mean-field approximation gives a rather good qualitative description of all these phase transitions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1997-05-20T17:23:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "absorbing states",
      "second-order phase transitions",
      "two-state totalistic probabilistic cellular automaton",
      "fully occupied state",
      "empty state"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1997cond.mat..5171B"
    }
  }
}