{
  "id": "cond-mat/0410673",
  "version": "v1",
  "published": "2004-10-26T13:41:23.000Z",
  "updated": "2004-10-26T13:41:23.000Z",
  "title": "Scaling for Interfacial Tensions near Critical Endpoints",
  "authors": [
    "Shun-yong Zinn",
    "Michael E. Fisher"
  ],
  "comment": "42 pages, 6 figures, to appear in Physical Review E",
  "doi": "10.1103/PhysRevE.71.011601",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Parametric scaling representations are obtained and studied for the asymptotic behavior of interfacial tensions in the \\textit{full} neighborhood of a fluid (or Ising-type) critical endpoint, i.e., as a function \\textit{both} of temperature \\textit{and} of density/order parameter \\textit{or} chemical potential/ordering field. Accurate \\textit{nonclassical critical exponents} and reliable estimates for the \\textit{universal amplitude ratios} are included naturally on the basis of the ``extended de Gennes-Fisher'' local-functional theory. Serious defects in previous scaling treatments are rectified and complete wetting behavior is represented; however, quantitatively small, but unphysical residual nonanalyticities on the wetting side of the critical isotherm are smoothed out ``manually.'' Comparisons with the limited available observations are presented elsewhere but the theory invites new, searching experiments and simulations, e.g., for the vapor-liquid interfacial tension on the two sides of the critical endpoint isotherm for which an amplitude ratio $-3.25 \\pm 0.05$ is predicted.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-10-26T13:41:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "amplitude ratio",
      "vapor-liquid interfacial tension",
      "parametric scaling representations",
      "critical endpoint isotherm",
      "theory invites"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}