{
  "id": "cond-mat/0301054",
  "version": "v1",
  "published": "2003-01-06T17:04:39.000Z",
  "updated": "2003-01-06T17:04:39.000Z",
  "title": "Avalanche exponents and corrections to scaling for a stochastic sandpile",
  "authors": [
    "Ronald Dickman",
    "J. M. M. Campelo"
  ],
  "comment": "8 pages, 4 figures",
  "doi": "10.1103/PhysRevE.67.066111",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "We study distributions of dissipative and nondissipative avalanches in Manna's stochastic sandpile, in one and two dimensions. Our results lead to the following conclusions: (1) avalanche distributions, in general, do not follow simple power laws, but rather have the form $P(s) \\sim s^{-\\tau_s} (\\ln s)^{\\gamma} f(s/s_c)$, with $f$ a cutoff function; (2) the exponents for sizes of dissipative avalanches in two dimensions differ markedly from the corresponding values for the Bak-Tang-Wiesenfeld (BTW) model, implying that the BTW and Manna models belong to distinct universality classes; (3) dissipative avalanche distributions obey finite size scaling, unlike in the BTW model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-01-06T17:04:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "avalanche exponents",
      "stochastic sandpile",
      "obey finite size scaling",
      "corrections",
      "dissipative avalanche distributions obey finite"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}