{
  "id": "1301.2666",
  "version": "v1",
  "published": "2013-01-12T09:23:46.000Z",
  "updated": "2013-01-12T09:23:46.000Z",
  "title": "Crossover from Goldstone to critical fluctuations: Casimir forces in confined O${\\bf(n)}$ symmetric systems",
  "authors": [
    "Volker Dohm"
  ],
  "comment": "2 figures",
  "journal": "Physical Review Letters 110, 107207 (2013)",
  "doi": "10.1103/PhysRevLett.110.107207",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the crossover between thermodynamic Casimir forces arising from long-range fluctuations due to Goldstone modes and those arising from critical fluctuations. Both types of forces exist in the low-temperature phase of O$(n)$ symmetric systems for $n>1$ in a $d$-dimensional ${L_\\parallel^{d-1} \\times L}$ slab geometry with a finite aspect ratio $\\rho = L/L_\\parallel$. Our finite-size renormalization-group treatment for periodic boundary conditions describes the entire crossover from the Goldstone regime with a nonvanishing constant tail of the finite-size scaling function far below $T_c$ up to the region far above $T_c$ including the critical regime with a minimum of the scaling function slightly below $T_c$. Our analytic result for $\\rho \\ll 1$ agrees well with Monte Carlo data for the three-dimensional XY model. A quantitative prediction is given for the crossover of systems in the Heisenberg universality class.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-12T09:23:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "75.40.-s",
      "05.70.Jk",
      "64.60.-i"
    ],
    "keywords": [
      "symmetric systems",
      "critical fluctuations",
      "heisenberg universality class",
      "three-dimensional xy model",
      "monte carlo data"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2013,
      "month": "Mar",
      "volume": 110,
      "number": 10,
      "pages": 107207
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013PhRvL.110j7207D"
    }
  }
}