{
  "id": "cond-mat/0606138",
  "version": "v2",
  "published": "2006-06-06T11:41:44.000Z",
  "updated": "2006-08-02T09:50:59.000Z",
  "title": "Phase transitions in Ising model on a Euclidean network",
  "authors": [
    "Arnab Chatterjee",
    "Parongama Sen"
  ],
  "comment": "7 pages, revtex4, 7 figures; to appear in Physical Review E, minor changes made",
  "journal": "Phys. Rev E 74, 036109 (2006)",
  "doi": "10.1103/PhysRevE.74.036109",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "A one dimensional network on which there are long range bonds at lattice distances $l>1$ with the probability $P(l) \\propto l^{-\\delta}$ has been taken under consideration. We investigate the critical behavior of the Ising model on such a network where spins interact with these extra neighbours apart from their nearest neighbours for $0 \\leq \\delta < 2$. It is observed that there is a finite temperature phase transition in the entire range. For $0 \\leq \\delta < 1$, finite size scaling behaviour of various quantities are consistent with mean field exponents while for $1\\leq \\delta\\leq 2$, the exponents depend on $\\delta$. The results are discussed in the context of earlier observations on the topology of the underlying network.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-08-02T09:50:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ising model",
      "euclidean network",
      "finite temperature phase transition",
      "long range bonds",
      "extra neighbours apart"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}