{
  "id": "cond-mat/0603825",
  "version": "v2",
  "published": "2006-03-30T18:51:40.000Z",
  "updated": "2006-12-04T17:56:31.000Z",
  "title": "Critical Scaling Properties at the Superfluid Transition of $^4$He in Aerogel",
  "authors": [
    "Marios Nikolaou",
    "Mats Wallin",
    "Hans Weber"
  ],
  "comment": "4 pages, 3 figures",
  "journal": "Phys. Rev. Lett. 97, 225702 (2006)",
  "doi": "10.1103/PhysRevLett.97.225702",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We study the superfluid transition of $^4$He in aerogel by Monte Carlo simulations and finite size scaling analysis. Aerogel is a highly porous silica glass, which we model by a diffusion limited cluster aggregation model. The superfluid is modeled by a three dimensional XY model, with excluded bonds to sites on the aerogel cluster. We obtain the correlation length exponent $\\nu=0.73 \\pm 0.02$, in reasonable agreement with experiments and with previous simulations. For the heat capacity exponent $\\alpha$, both experiments and previous simulations suggest deviations from the Josephson hyperscaling relation $\\alpha=2-d\\nu$. In contrast, our Monte Carlo results support hyperscaling with $\\alpha= -0.2\\pm 0.05$. We suggest a reinterpretation of previous experiments, which avoids scaling violations and is consistent with our simulation results.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-12-04T17:56:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "superfluid transition",
      "critical scaling properties",
      "carlo results support hyperscaling",
      "diffusion limited cluster aggregation model",
      "monte carlo results support"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}