{
  "id": "cond-mat/0101039",
  "version": "v1",
  "published": "2001-01-04T11:30:12.000Z",
  "updated": "2001-01-04T11:30:12.000Z",
  "title": "A perturbative approach to the Bak-Sneppen Model",
  "authors": [
    "M. Felici",
    "G. Caldarelli",
    "A. Gabrielli",
    "L. Pietronero"
  ],
  "comment": "4 pages, 3 figures, to be published on Physical Review Letters",
  "doi": "10.1103/PhysRevLett.86.1896",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the Bak-Sneppen model in the probabilistic framework of the Run Time Statistics (RTS). This model has attracted a large interest for its simplicity being a prototype for the whole class of models showing Self-Organized Criticality. The dynamics is characterized by a self-organization of almost all the species fitnesses above a non-trivial threshold value, and by a lack of spatial and temporal characteristic scales. This results in {\\em avalanches} of activity power law distributed. In this letter we use the RTS approach to compute the value of $x_c$, the value of the avalanche exponent $\\tau$ and the asymptotic distribution of minimal fitnesses.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-01-04T11:30:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bak-sneppen model",
      "perturbative approach",
      "run time statistics",
      "temporal characteristic scales",
      "non-trivial threshold value"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}