{
  "id": "cond-mat/9707028",
  "version": "v2",
  "published": "1997-07-03T20:30:50.000Z",
  "updated": "1997-07-11T18:16:20.000Z",
  "title": "Critical Temperature of Bose-Einstein Condensation of Hard Sphere Gases",
  "authors": [
    "Peter Grüter",
    "David Ceperley",
    "Franck Laloë"
  ],
  "comment": "4 pages, 4 figures;; replacement with minor corrections: p.1 (after Eq.1), p.2 (after Eq. 4), x-axis label in Fig. 2",
  "doi": "10.1103/PhysRevLett.79.3549",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We determine the critical temperature of a 3-d homogeneous system of hard-sphere Bosons by path-integral Monte Carlo simulations and finite-size scaling. At low densities, we find that the critical temperature is increased by the repulsive interactions, in the form of a power law in density with exponent 1/3: $\\Delta T_C/T_0\\sim (na^3)^{1/3}$. At high densities the result for liquid helium, namely a lower critical temperature than in the non-interacting case, is recovered. We give a microscopic explanation for the observed behavior.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1997-07-11T18:16:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hard sphere gases",
      "bose-einstein condensation",
      "path-integral monte carlo simulations",
      "hard-sphere bosons",
      "power law"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}