{
  "id": "cond-mat/0405563",
  "version": "v1",
  "published": "2004-05-24T18:50:19.000Z",
  "updated": "2004-05-24T18:50:19.000Z",
  "title": "Replica symmetry breaking in the `small world' spin glass",
  "authors": [
    "B Wemmenhove",
    "T Nikoletopoulos",
    "J P L Hatchett"
  ],
  "comment": "21 pages, 3 figures",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We apply the cavity method to a spin glass model on a `small world' lattice, a random bond graph super-imposed upon a 1-dimensional ferromagnetic ring. We show the correspondence with a replicated transfer matrix approach, up to the level of one step replica symmetry breaking (1RSB). Using the scheme developed by M\\'ezard & Parisi for the Bethe lattice, we evaluate observables for a model with fixed connectivity and $\\pm J$ long range bonds. Our results agree with numerical simulations significantly better than the replica symmetric (RS) theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-05-24T18:50:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "replica symmetry breaking",
      "small world",
      "spin glass model",
      "step replica symmetry",
      "long range bonds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}