{
  "id": "cond-mat/0307073",
  "version": "v1",
  "published": "2003-07-03T08:09:33.000Z",
  "updated": "2003-07-03T08:09:33.000Z",
  "title": "Scaling Function for the Diffusion Coefficient of a Critical Fluid in a Finite Geometry",
  "authors": [
    "Palash Das",
    "Jayanta K. Bhattacharjee"
  ],
  "comment": "8 pages",
  "doi": "10.1103/PhysRevE.69.036116",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The long wavelength diffusion coefficient of a critical fluid confined between two parallel plates separated by a distance L is strongly affected by the finite size. Finite size scaling leads us to expect that the vanishing of the diffusion coefficient as \\xi^{-1} for \\xi<<L, \\xi being the correlation length, would crossover to \\L^{-1} for \\xi>>L. We show that this is not strictlytrue. There is a logarthmic scaling violation. We construct a Kawasaki like scaling function that connects the thermodynamic regime to the extreme critical (\\xi>>L) regime.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-07-03T08:09:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "scaling function",
      "critical fluid",
      "finite geometry",
      "long wavelength diffusion coefficient",
      "parallel plates"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}