{
  "id": "0903.0438",
  "version": "v4",
  "published": "2009-03-03T03:55:20.000Z",
  "updated": "2010-10-03T17:02:47.000Z",
  "title": "Percolation Thresholds of the Fortuin-Kasteleyn Cluster for the Edwards-Anderson Ising Model on Complex Networks",
  "authors": [
    "Chiaki Yamaguchi"
  ],
  "comment": "16 pages, 4 figures. v4: minor corrections/additions",
  "journal": "Prog. Theor. Phys. 124 (2010), 399-413",
  "doi": "10.1143/PTP.124.399",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We analytically show the percolation thresholds of the Fortuin-Kasteleyn cluster for the Edwards-Anderson Ising model on random graphs with arbitrary degree distributions. The results on the Nishimori line are shown. We obtain the results for the +-J model, the diluted +-J model, and the Gaussian model, by applying an extension of a criterion for the random graphs with arbitrary degree distributions. The results for the infinite-range $\\pm J$ model and the Sherrington-Kirkpatrick model are also shown.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2010-10-03T17:02:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "edwards-anderson ising model",
      "fortuin-kasteleyn cluster",
      "percolation thresholds",
      "complex networks",
      "arbitrary degree distributions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Progress of Theoretical Physics",
      "year": 2010,
      "month": "Sep",
      "volume": 124,
      "number": 3,
      "pages": 399
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PThPh.124..399Y"
    }
  }
}