{
  "id": "cond-mat/9706238",
  "version": "v1",
  "published": "1997-06-24T10:09:08.000Z",
  "updated": "1997-06-24T10:09:08.000Z",
  "title": "Geometry and Thermodynamic Fluctuations of the Ising Model on a Bethe Lattice",
  "authors": [
    "Brian P. Dolan"
  ],
  "comment": "11 pages Plain TeX, 2 figures",
  "journal": "Proc.Roy.Soc.Lond. A454 (1998) 2655",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th"
  ],
  "abstract": "A metric is introduced on the two dimensional space of parameters describing the Ising model on a Bethe lattice of co-ordination number q. The geometry associated with this metric is analysed and it is shown that the Gaussian curvature diverges at the critical point. For the special case q=2 the curvature reduces to an already known result for the one dimensional Ising model. The Gaussian curvature is also calculated for a general ferro-magnet near its critical point, generalising a previous result for t>0. The general expression near a critical point is compared with the specific case of the Bethe lattice and a subtlety, associated with the fact that the specific heat exponent for the Bethe lattice vanishes, is resolved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-06-24T10:09:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ising model",
      "thermodynamic fluctuations",
      "critical point",
      "bethe lattice vanishes",
      "specific heat exponent"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1098/rspa.1998.0274"
    },
    "note": {
      "typesetting": "Plain TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 458411,
      "adsabs": "1997cond.mat..6238D"
    }
  }
}