{
  "id": "1206.0146",
  "version": "v2",
  "published": "2012-06-01T11:11:38.000Z",
  "updated": "2012-10-01T09:06:56.000Z",
  "title": "Slow dynamics and rare-region effects in the contact process on weighted tree networks",
  "authors": [
    "Geza Odor",
    "Romualdo Pastor-Satorras"
  ],
  "comment": "12 pages, 10 figures, final version appeared in PRE",
  "journal": "Phys. Rev. E 86, 026117 (2012)",
  "doi": "10.1103/PhysRevE.86.026117",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We show that generic, slow dynamics can occur in the contact process on complex networks with a tree-like structure and a superimposed weight pattern, in the absence of additional (non-topological) sources of quenched disorder. The slow dynamics is induced by rare-region effects occurring on correlated subspaces of vertices connected by large weight edges, and manifests in the form of a smeared phase transition. We conjecture that more sophisticated network motifs could be able to induce Griffiths phases, as a consequence of purely topological disorder.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-01T09:06:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "89.75.Hc",
      "05.70.Ln",
      "89.75.Fb"
    ],
    "keywords": [
      "slow dynamics",
      "weighted tree networks",
      "rare-region effects",
      "contact process",
      "large weight edges"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2012,
      "month": "Aug",
      "volume": 86,
      "number": 2,
      "pages": "026117"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvE..86b6117O"
    }
  }
}