{
  "id": "cond-mat/0402138",
  "version": "v2",
  "published": "2004-02-04T18:42:41.000Z",
  "updated": "2004-02-13T18:37:14.000Z",
  "title": "Exact Solution of Ising Model on a Small-World Network",
  "authors": [
    "J. Viana Lopes",
    "Yu. G. Pogorelov",
    "J. M. B. Lopes dos Santos",
    "R. Toral"
  ],
  "comment": "9 pages, 7 figures, submitted to pre",
  "journal": "Phys. Rev. E 70, 026112 (2004)",
  "doi": "10.1103/PhysRevE.70.026112",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We present an exact solution of a one-dimensional Ising chain with both nearest neighbor and random long-range interactions. Not surprisingly, the solution confirms the mean field character of the transition. This solution also predicts the finite-size scaling that we observe in numerical simulations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-02-13T18:37:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exact solution",
      "small-world network",
      "ising model",
      "mean field character",
      "random long-range interactions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}