{
  "id": "cond-mat/0409120",
  "version": "v2",
  "published": "2004-09-06T09:37:02.000Z",
  "updated": "2005-05-19T14:37:57.000Z",
  "title": "Complete Condensation in a Zero Range Process on Scale-Free Networks",
  "authors": [
    "Jae Dong Noh",
    "G. M. Shim",
    "Hoyun Lee"
  ],
  "comment": "4 pages, 2 EPS figures, and 1 table (some revision for relational dynamics parts)",
  "journal": "Phys.Rev.Lett.94:198701,2005",
  "doi": "10.1103/PhysRevLett.94.198701",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study a zero range process on scale-free networks in order to investigate how network structure influences particle dynamics. The zero range process is defined with the particle jumping rate function $p(n)=n^\\delta$. We show analytically that a complete condensation occurs when $\\delta \\leq \\delta_c \\equiv 1/(\\gamma-1)$ where $\\gamma$ is the degree distribution exponent of the underlying networks. In the complete condensation, those nodes whose degree is higher than a threshold are occupied by macroscopic numbers of particles, while the other nodes are occupied by negligible numbers of particles. We also show numerically that the relaxation time follows a power-law scaling $\\tau \\sim L^z$ with the network size $L$ and a dynamic exponent $z$ in the condensed phase.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-05-19T14:37:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.70.Fh",
      "64.70.Fx",
      "89.75.Hc",
      "05.20.-y"
    ],
    "keywords": [
      "zero range process",
      "scale-free networks",
      "network structure influences particle dynamics",
      "particle jumping rate function",
      "complete condensation occurs"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 808240
    }
  }
}