{
  "id": "cond-mat/0207233",
  "version": "v3",
  "published": "2002-07-09T12:27:58.000Z",
  "updated": "2003-02-27T16:19:54.000Z",
  "title": "Damage spreading in the Bak-Sneppen model: Sensitivity to the initial conditions and equilibration dynamics",
  "authors": [
    "U. Tirnakli",
    "M. L. Lyra"
  ],
  "comment": "6 pages, 4 figs, revised version, accepted for publication in Int.J.Mod.Phys.C 14 (2003)",
  "categories": [
    "cond-mat.stat-mech",
    "q-bio"
  ],
  "abstract": "The short-time and long-time dynamics of the Bak-Sneppen model of biological evolution are investigated using the damage spreading technique. By defining a proper Hamming distance measure, we are able to make it exhibits an initial power-law growth which, for finite size systems, is followed by a decay towards equilibrium. In this sense, the dynamics of self-organized critical states is shown to be similar to the one observed at the usual critical point of continuous phase-transitions and at the onset of chaos of non-linear low-dimensional dynamical maps. The transient, pre-asymptotic and asymptotic exponential relaxation of the Hamming distance between two initially uncorrelated equilibrium configurations is also shown to be fitted within a single mathematical framework. A connection with nonextensive statistical mechanics is exhibited.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2003-02-27T16:19:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bak-sneppen model",
      "equilibration dynamics",
      "initial conditions",
      "sensitivity",
      "proper hamming distance measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002cond.mat..7233T"
    }
  }
}