{
  "id": "cond-mat/0311575",
  "version": "v1",
  "published": "2003-11-25T20:52:35.000Z",
  "updated": "2003-11-25T20:52:35.000Z",
  "title": "Extreme Fluctuations in Small-Worlds with Relaxational Dynamics",
  "authors": [
    "H. Guclu",
    "G. Korniss"
  ],
  "comment": "4 pages, 2 figures",
  "journal": "Phys. Rev. E 69, 065104(R) (2004).",
  "doi": "10.1103/PhysRevE.69.065104",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We study the distribution and scaling of the extreme height fluctuations for Edwards-Wilkinson-type relaxation on small-world substrates. When random links are added to a one-dimensional lattice, the average size of the fluctuations becomes finite (synchronized state) and the extreme height diverges only logarithmically in the large system-size limit. This latter property ensures synchronization in a practical sense in small-world coupled multi-component autonomous systems. The statistics of the extreme heights is governed by the Fisher-Tippett-Gumbel distribution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-11-25T20:52:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "relaxational dynamics",
      "extreme fluctuations",
      "extreme height diverges",
      "small-world coupled multi-component autonomous systems",
      "property ensures synchronization"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}