{
  "id": "cond-mat/0205490",
  "version": "v2",
  "published": "2002-05-23T22:10:48.000Z",
  "updated": "2002-05-28T23:42:08.000Z",
  "title": "A precise approximation for directed percolation in d=1+1",
  "authors": [
    "Clément Sire"
  ],
  "comment": "4 pages, 3 EPS figures; Submitted to Physical Review Letters v2: minor typos + 1 major typo in Eq. (30) corrected",
  "journal": "Phys. Rev. E 66, 066128 (2002)",
  "doi": "10.1103/PhysRevE.66.066128",
  "categories": [
    "cond-mat.stat-mech",
    "nlin.CG"
  ],
  "abstract": "We introduce an approximation specific to a continuous model for directed percolation, which is strictly equivalent to 1+1 dimensional directed bond percolation. We find that the critical exponent associated to the order parameter (percolation probability) is beta=(1-1/\\sqrt{5})/2=0.276393202..., in remarkable agreement with the best current numerical estimate beta=0.276486(8).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-05-28T23:42:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "directed percolation",
      "precise approximation",
      "dimensional directed bond percolation",
      "best current numerical estimate",
      "approximation specific"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}