{
  "id": "cond-mat/0302051",
  "version": "v2",
  "published": "2003-02-03T17:45:25.000Z",
  "updated": "2003-02-12T19:20:14.000Z",
  "title": "Anomalous diffusion at percolation threshold in high dimensions on 10^18 sites",
  "authors": [
    "Dirk Osterkamp",
    "Dietrich Stauffer",
    "Amnon Aharony"
  ],
  "comment": "8 pages including figures, presentation improved, for Int.J.Mod.Phys.C",
  "doi": "10.1142/S0129183103005066",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Using an inverse of the standard linear congruential random number generator, large randomly occupied lattices can be visited by a random walker without having to determine the occupation status of every lattice site in advance. In seven dimensions, at the percolation threshold with L^7 sites and L < 420, we confirm the expected time-dependence of the end-to-end distance (including the corrections to the asymptotic behavior).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-02-12T19:20:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "percolation threshold",
      "high dimensions",
      "anomalous diffusion",
      "standard linear congruential random number",
      "linear congruential random number generator"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}