{
  "id": "cond-mat/0105604",
  "version": "v1",
  "published": "2001-05-31T08:00:36.000Z",
  "updated": "2001-05-31T08:00:36.000Z",
  "title": "Density Correlations in the Two-Dimensional Coulomb Gas",
  "authors": [
    "L. Šamaj",
    "B. Jancovici"
  ],
  "comment": "35 pages, Latex",
  "journal": "J. Stat. Phys. 106 (2002) 323-355",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We consider a two-dimensional Coulomb gas of positive and negative pointlike unit charges interacting via a logarithmic potential. The density (rather than the charge) correlation functions are studied. In the bulk, the form-factor theory of an equivalent sine-Gordon model is used to determine the density correlation length. At the surface of a rectilinear plain wall, the universality of the asymptotic behavior of the density correlations is suggested. A scaling analysis implies a local form of the compressibility sum rule near a hard wall. A symmetry of the Coulomb system with respect to the M\\\"obius conformal transformation, which induces a gravitational source acting on the particle density, is established. Among the consequences, a universal term of the finite-size expansion of the grand potential is derived exactly for a disk geometry of the confining domain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-05-31T08:00:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-dimensional coulomb gas",
      "pointlike unit charges interacting",
      "equivalent sine-gordon model",
      "density correlation length",
      "rectilinear plain wall"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001cond.mat..5604S"
    }
  }
}