{
  "id": "1102.1982",
  "version": "v1",
  "published": "2011-02-09T21:06:17.000Z",
  "updated": "2011-02-09T21:06:17.000Z",
  "title": "First Order Phase Transition in a Model of Quasicrystals",
  "authors": [
    "David Aristoff",
    "Charles Radin"
  ],
  "comment": "future versions available from http://www.ma.utexas.edu/users/radin/papers.html",
  "journal": "J. Phys. A: Math. Theor. 44(2011), 255001",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We introduce a family of two-dimensional lattice models of quasicrystals, using a range of square hard cores together with a soft interaction based on an aperiodic tiling set. Along a low temperature isotherm we find, by Monte Carlo simulation, a first order phase transition between disordered and quasicrystalline phases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-09T21:06:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "first order phase transition",
      "quasicrystals",
      "two-dimensional lattice models",
      "monte carlo simulation",
      "square hard cores"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1751-8113/44/25/255001",
      "journal": "Journal of Physics A Mathematical General",
      "year": 2011,
      "month": "Jun",
      "volume": 44,
      "number": 25,
      "pages": 255001
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JPhA...44y5001A"
    }
  }
}