{
  "id": "cond-mat/0006490",
  "version": "v2",
  "published": "2000-06-30T12:32:29.000Z",
  "updated": "2000-08-25T09:14:32.000Z",
  "title": "Continuously varying exponents in a sandpile model with dissipation near surface",
  "authors": [
    "S. Lubeck",
    "D. Dhar"
  ],
  "comment": "13 pages, 4 figures, accepted for publication in J. Stat. Phys",
  "journal": "Journal of Statistical Physics 102, 1 (2001)",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We consider the directed Abelian sandpile model in the presence of sink sites whose density f_t at depth t below the top surface varies as c~1/t^chi. For chi>1 the disorder is irrelevant. For chi<1, it is relevant and the model is no longer critical for any nonzero c. For chi=1 the exponents of the avalanche distributions depend continuously on the amplitude c of the disorder. We calculate this dependence exactly, and verify the results with simulations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-08-25T09:14:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "continuously varying exponents",
      "dissipation",
      "sink sites",
      "surface varies",
      "avalanche distributions depend"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000cond.mat..6490L"
    }
  }
}