{
  "id": "cond-mat/0105037",
  "version": "v1",
  "published": "2001-05-02T21:54:02.000Z",
  "updated": "2001-05-02T21:54:02.000Z",
  "title": "Freezing in Ising Ferromagnets",
  "authors": [
    "V. Spirin",
    "P. L. Krapivsky",
    "S. Redner"
  ],
  "comment": "10 pages, 17 figures, 2-column revtex format",
  "journal": "Phys. Rev. E 65, 016119 (2002).",
  "doi": "10.1103/PhysRevE.65.016119",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We investigate the final state of zero-temperature Ising ferromagnets which are endowed with single-spin flip Glauber dynamics. Surprisingly, the ground state is generally not reached for zero initial magnetization. In two dimensions, the system either reaches a frozen stripe state with probability approximately equal to 1/3 or the ground state with probability approximately equal to 2/3. In greater than two dimensions, the probability to reach the ground state or a frozen state rapidly vanishes as the system size increases and the system wanders forever in an iso-energy set of metastable states. An external magnetic field changes the situation drastically -- in two dimensions the favorable ground state is always reached, while in three dimensions the field must exceed a threshold value to reach the ground state. For small but non-zero temperature, relaxation to the final state first proceeds by the formation of very long-lived metastable states, similar to the zero-temperature case, before equilibrium is reached.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-05-02T21:54:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ground state",
      "ising ferromagnets",
      "probability approximately equal",
      "dimensions",
      "single-spin flip glauber dynamics"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}