{
  "id": "cond-mat/0408399",
  "version": "v2",
  "published": "2004-08-18T14:48:40.000Z",
  "updated": "2005-09-30T11:58:21.000Z",
  "title": "Trading interactions for topology in scale-free networks",
  "authors": [
    "C. V. Giuraniuc",
    "J. P. L. Hatchett",
    "J. O. Indekeu",
    "M. Leone",
    "I. Perez Castillo",
    "B. Van Schaeybroeck",
    "C. Vanderzande"
  ],
  "comment": "4 pages, 5 figures",
  "journal": "Physical Review Letters 95, 098701 (2005) (4pages),",
  "doi": "10.1103/PhysRevLett.95.098701",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "Scale-free networks with topology-dependent interactions are studied. It is shown that the universality classes of critical behavior, which conventionally depend only on topology, can also be explored by tuning the interactions. A mapping, $\\gamma' = (\\gamma - \\mu)/(1-\\mu)$, describes how a shift of the standard exponent $\\gamma$ of the degree distribution $P(q)$ can absorb the effect of degree-dependent pair interactions $J_{ij} \\propto (q_iq_j)^{-\\mu}$. Replica technique, cavity method and Monte Carlo simulation support the physical picture suggested by Landau theory for the critical exponents and by the Bethe-Peierls approximation for the critical temperature. The equivalence of topology and interaction holds for equilibrium and non-equilibrium systems, and is illustrated with interdisciplinary applications.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-09-30T11:58:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "scale-free networks",
      "trading interactions",
      "monte carlo simulation support",
      "degree-dependent pair interactions",
      "cavity method"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}