{
  "id": "0712.2374",
  "version": "v1",
  "published": "2007-12-14T15:33:56.000Z",
  "updated": "2007-12-14T15:33:56.000Z",
  "title": "Instability in a Network Coevolving with a Particle System",
  "authors": [
    "Sang-Woo Kim",
    "Jae Dong Noh"
  ],
  "comment": "4 pages and 5 figures",
  "journal": "Phys. Rev. Lett. 100, 118702 (2008)",
  "doi": "10.1103/PhysRevLett.100.118702",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study a coupled dynamics of a network and a particle system. Particles of density $\\rho$ diffuse freely along edges, each of which is rewired at a rate given by a decreasing function of particle flux. We find that the coupled dynamics leads to an instability toward the formation of hubs and that there is a dynamic phase transition at a threshold particle density $\\rho_c$. In the low density phase, the network evolves into a star-shaped one with the maximum degree growing linearly in time. In the high density phase, the network exhibits a fat-tailed degree distribution and an interesting dynamic scaling behavior. We present an analytic theory explaining mechanism for the instability and a scaling theory for the dynamic scaling behavior.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-14T15:33:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "89.75.Hc",
      "05.40.-a",
      "64.60.Ht"
    ],
    "keywords": [
      "particle system",
      "instability",
      "network coevolving",
      "dynamic scaling behavior",
      "coupled dynamics"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2008,
      "month": "Mar",
      "volume": 100,
      "number": 11,
      "pages": 118702
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvL.100k8702K"
    }
  }
}