{
  "id": "cond-mat/9902362",
  "version": "v1",
  "published": "1999-02-26T19:32:24.000Z",
  "updated": "1999-02-26T19:32:24.000Z",
  "title": "Breakdown of Scaling in the Nonequilibrium Critical Dynamics of the Two-Dimensional XY Model",
  "authors": [
    "A. J. Bray",
    "A. J. Briant",
    "D. K. Jervis"
  ],
  "comment": "4 pages, 3 figures",
  "journal": "Phys. Rev. Lett. 84, 1503 (2000)",
  "doi": "10.1103/PhysRevLett.84.1503",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The approach to equilibrium, from a nonequilibrium initial state, in a system at its critical point is usually described by a scaling theory with a single growing length scale, $\\xi(t) \\sim t^{1/z}$, where z is the dynamic exponent that governs the equilibrium dynamics. We show that, for the 2D XY model, the rate of approach to equilibrium depends on the initial condition. In particular, $\\xi(t) \\sim t^{1/2}$ if no free vortices are present in the initial state, while $\\xi(t) \\sim (t/\\ln t)^{1/2}$ if free vortices are present.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-02-26T19:32:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-dimensional xy model",
      "nonequilibrium critical dynamics",
      "free vortices",
      "nonequilibrium initial state",
      "2d xy model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}