{
  "id": "0712.4371",
  "version": "v2",
  "published": "2007-12-28T16:33:30.000Z",
  "updated": "2008-03-13T12:01:02.000Z",
  "title": "The Partition Function of a Multi-Component Coulomb Gas on a Circle",
  "authors": [
    "Niko Jokela",
    "Matti Jarvinen",
    "Esko Keski-Vakkuri"
  ],
  "comment": "15 pages, 1 figure, v2: added discussion and references, version to appear in J. Phys. A",
  "journal": "J.Phys.A41:145003,2008",
  "doi": "10.1088/1751-8113/41/14/145003",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study a two-dimensional Coulomb gas consisting of a mixture of particles carrying various positive multiple integer charges, confined on a unit circle. We consider the system in the canonical and grand canonical ensembles, and attempt to calculate the partition functions analytically, using Toeplitz and confluent Vandermonde determinants. Just like in the simple one-component system (Dyson gas), the partition functions simplify at special temperature $\\beta=2$, allowing us to find compact expressions for them.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-03-13T12:01:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partition function",
      "multi-component coulomb gas",
      "two-dimensional coulomb gas",
      "simple one-component system",
      "positive multiple integer charges"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2008,
      "month": "Apr",
      "volume": 41,
      "number": 14,
      "pages": 145003
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 771776,
      "adsabs": "2008JPhA...41n5003J"
    }
  }
}