{
  "id": "cond-mat/0009113",
  "version": "v1",
  "published": "2000-09-07T17:12:41.000Z",
  "updated": "2000-09-07T17:12:41.000Z",
  "title": "Is there Ornstein-Zernike equation in the canonical ensemble?",
  "authors": [
    "J. A. White",
    "S. Velasco"
  ],
  "comment": "5 pages, RevTeX. Submitted to Phys. Rev. Lett",
  "doi": "10.1209/epl/i2001-00270-x",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "A general density-functional formalism using an extended variable-space is presented for classical fluids in the canonical ensemble (CE). An exact equation is derived that plays the role of the Ornstein-Zernike (OZ) equation in the grand canonical ensemble (GCE). When applied to the ideal gas we obtain the exact result for the total correlation function h_N. For a homogeneous fluid with N particles the new equation only differs from OZ by 1/N and it allows to obtain an approximate expression for h_N in terms of its GCE counterpart that agrees with the expansion of h_N in powers of 1/N.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-09-07T17:12:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "canonical ensemble",
      "ornstein-zernike equation",
      "general density-functional formalism",
      "total correlation function",
      "exact equation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}