{
  "id": "cond-mat/0506746",
  "version": "v1",
  "published": "2005-06-29T13:18:59.000Z",
  "updated": "2005-06-29T13:18:59.000Z",
  "title": "Universality Class of One-Dimensional Directed Sandpile Models",
  "authors": [
    "Matthew Stapleton",
    "Kim Christensen"
  ],
  "comment": "4 pages, 2 figures",
  "doi": "10.1103/PhysRevE.72.066103",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "A general n-state directed `sandpile' model is introduced. The stationary properties of the n-state model are derived for n < infty, and analytical arguments based on a central limit theorem show that the model belongs to the universality class of the totally asymmetric Oslo model, with a crossover to uncorrelated branching process behavior for small system sizes. Hence, the central limit theorem allows us to identify the existence of a large universality class of one-dimensional directed sandpile models.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-06-29T13:18:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "one-dimensional directed sandpile models",
      "central limit theorem",
      "small system sizes",
      "totally asymmetric oslo model",
      "large universality class"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}