{
  "id": "cond-mat/0107340",
  "version": "v1",
  "published": "2001-07-16T12:54:05.000Z",
  "updated": "2001-07-16T12:54:05.000Z",
  "title": "Thermodynamic Properties of the Two-Dimensional Coulomb Gas in the Low-Density Limit",
  "authors": [
    "P. Kalinay",
    "L. Samaj"
  ],
  "comment": "18 pages, 3 figures",
  "journal": "J. Stat. Phys. 106 (2002) 857-874",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The model under consideration is the two-dimensional Coulomb gas of $\\pm$ charged hard disks with diameter $\\sigma$. For the case of pointlike charges $(\\sigma=0)$, the system is stable against collapse of positive-negative pairs of charges in the range of inverse temperatures $0 \\le \\beta < 2$, where its full thermodynamics was obtained exactly [L. {\\v{S}}amaj and I. Trav{\\v{e}}nec, {\\it J. Stat. Phys.} {\\bf 101}:713 (2000)]. In the present work, we derive the leading correction to the exact thermodynamics of pointlike charges due to the presence of the hard core $\\sigma$ (appearing in the dimensionless combination $n\\sigma^2$, $n$ is the particle density). This permits us to extend the treatment to the interval $2\\le \\beta <3$ (the Kosterlitz-Thouless phase transition takes place at $\\beta=4$). The results, which are exact in the low-density limit $n\\sigma^2 \\to 0$, reproduce correctly the singularities of thermodynamic quantities at the collapse point $\\beta=2$ and agree very well with Monte-Carlo simulations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-07-16T12:54:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-dimensional coulomb gas",
      "low-density limit",
      "thermodynamic properties",
      "pointlike charges",
      "exact thermodynamics"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001cond.mat..7340K"
    }
  }
}