{
  "id": "cond-mat/9910425",
  "version": "v1",
  "published": "1999-10-26T15:26:03.000Z",
  "updated": "1999-10-26T15:26:03.000Z",
  "title": "Invasion Percolation with Temperature and the Nature of SOC in Real Systems",
  "authors": [
    "Andrea Gabrielli",
    "Guido Caldarelli",
    "Luciano Pietronero"
  ],
  "comment": "4 pages, 2 figures",
  "doi": "10.1103/PhysRevE.62.7638",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We show that the introduction of thermal noise in Invasion Percolation (IP) brings the system outside the critical point. This result suggests a possible definition of SOC systems as ordinary critical systems where the critical point correspond to set to 0 one of the parameters. We recover both IP and EDEN model, for $T \\to 0$, and $T \\to \\infty$ respectively. For small $T$ we find a dynamical second order transition with correlation length diverging when $T \\to 0$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-10-26T15:26:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "invasion percolation",
      "real systems",
      "temperature",
      "dynamical second order transition",
      "correlation length"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}