{
  "id": "cond-mat/9812161",
  "version": "v1",
  "published": "1998-12-09T18:47:18.000Z",
  "updated": "1998-12-09T18:47:18.000Z",
  "title": "Self-Organized States in Cellular Automata: Exact Solution",
  "authors": [
    "M. V. Medvedev",
    "P. H. Diamond"
  ],
  "comment": "4 pages (REVTeX), incl. 2 figures (PostScript)",
  "journal": "Phys. Rev. E 58, 6824 (1998)",
  "doi": "10.1103/PhysRevE.58.6824",
  "categories": [
    "cond-mat.stat-mech",
    "adap-org",
    "astro-ph",
    "comp-gas",
    "nlin.AO",
    "nlin.CG",
    "physics.class-ph",
    "physics.flu-dyn",
    "physics.plasm-ph"
  ],
  "abstract": "The spatial structure, fluctuations as well as all state probabilities of self-organized (steady) states of cellular automata can be found (almost) exactly and {\\em explicitly} from their Markovian dynamics. The method is shown on an example of a natural sand pile model with a gradient threshold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-12-09T18:47:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cellular automata",
      "exact solution",
      "self-organized states",
      "natural sand pile model",
      "state probabilities"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}