{
  "id": "2005.13931",
  "version": "v1",
  "published": "2020-05-28T11:54:45.000Z",
  "updated": "2020-05-28T11:54:45.000Z",
  "title": "Cluster expansion for the Ising model in the canonical ensemble",
  "authors": [
    "Giuseppe Scola"
  ],
  "categories": [
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We show the validity of the cluster expansion in the canonical ensemble for the Ising model. We compare its radius of convergence with the one computed by the virial expansion working in the grand-canonical ensemble. Using the cluster expansion we give direct proofs with quantification of the higher order error terms for the decay of correlations, central limit theorem and large deviations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-28T11:54:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "60F10",
      "82B05",
      "82B20"
    ],
    "keywords": [
      "cluster expansion",
      "ising model",
      "canonical ensemble",
      "higher order error terms",
      "central limit theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}