{
  "id": "2105.03618",
  "version": "v1",
  "published": "2021-05-08T07:38:56.000Z",
  "updated": "2021-05-08T07:38:56.000Z",
  "title": "Failure of Ornstein--Zernike asymptotics for the pair correlation function at high temperature and small density",
  "authors": [
    "Y. Aoun",
    "D. Ioffe",
    "S. Ott",
    "Y. Velenik"
  ],
  "comment": "Accepted for publication as a Letter in Physical Review E",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We report on recent results that show that the pair correlation function of systems with exponentially decaying interactions can fail to exhibit Ornstein-Zernike asymptotics at all sufficiently high temperatures and all sufficiently small densities. This turns out to be related to a lack of analyticity of the correlation length as a function of temperature and/or density and even occurs for one-dimensional systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-08T07:38:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pair correlation function",
      "ornstein-zernike asymptotics",
      "small density",
      "correlation length",
      "one-dimensional systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}