{
  "id": "0809.3416",
  "version": "v2",
  "published": "2008-09-19T19:03:36.000Z",
  "updated": "2008-10-05T13:16:54.000Z",
  "title": "Explicit characterization of the identity configuration in an Abelian Sandpile Model",
  "authors": [
    "Sergio Caracciolo",
    "Guglielmo Paoletti",
    "Andrea Sportiello"
  ],
  "comment": "11 pages, 8 figures",
  "journal": "J.Phys.A41:495003,2008",
  "doi": "10.1088/1751-8113/41/49/495003",
  "categories": [
    "cond-mat.stat-mech",
    "hep-lat",
    "math-ph",
    "math.MP",
    "nlin.AO"
  ],
  "abstract": "Since the work of Creutz, identifying the group identities for the Abelian Sandpile Model (ASM) on a given lattice is a puzzling issue: on rectangular portions of Z^2 complex quasi-self-similar structures arise. We study the ASM on the square lattice, in different geometries, and a variant with directed edges. Cylinders, through their extra symmetry, allow an easy determination of the identity, which is a homogeneous function. The directed variant on square geometry shows a remarkable exact structure, asymptotically self-similar.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-10-05T13:16:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "abelian sandpile model",
      "identity configuration",
      "explicit characterization",
      "complex quasi-self-similar structures arise",
      "rectangular portions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2008,
      "month": "Dec",
      "volume": 41,
      "number": 49,
      "pages": 495003
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 797993,
      "adsabs": "2008JPhA...41W5003C"
    }
  }
}