{
  "id": "1305.1038",
  "version": "v4",
  "published": "2013-05-05T18:49:37.000Z",
  "updated": "2013-06-23T17:17:40.000Z",
  "title": "Zero-Temperature Coarsening in the 2d Potts Model",
  "authors": [
    "J. Olejarz",
    "P. L. Krapivsky",
    "S. Redner"
  ],
  "comment": "21 pages, 18 figures, 4 movies in supplemental material; version 2: 5 added references and some figures enlarged; version 3: parts of the introduction were rewritten; version 4: a few minor corrections",
  "journal": "J. Stat. Mech. P06018 (2013)",
  "doi": "10.1088/1742-5468/2013/06/P06018",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the fate of the 2d kinetic q-state Potts model after a sudden quench to zero temperature. Both ground states and complicated static states are reached with non-zero probabilities. These outcomes resemble those found in the quench of the 2d Ising model; however, the variety of static states in the q-state Potts model (with q>=3) is much richer than in the Ising model, where static states are either ground or stripe states. Another possibility is that the system gets trapped on a set of equal-energy blinker states where a subset of spins can flip ad infinitum; these states are similar to those found in the quench of the 3d Ising model. The evolution towards the final energy is also unusual---at long times, sudden and massive energy drops may occur that are accompanied by macroscopic reordering of the domain structure. This indeterminacy in the zero-temperature quench of the kinetic Potts model is at odds with basic predictions from the theory of phase-ordering kinetics. We also propose a continuum description of coarsening with more than two equivalent ground states. The resulting time-dependent Ginzburg-Landau equations reproduce the complex cluster patterns that arise in the quench of the kinetic Potts model.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2013-06-23T17:17:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "2d potts model",
      "time-dependent ginzburg-landau equations reproduce",
      "zero-temperature coarsening",
      "kinetic potts model",
      "static states"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2013,
      "month": "Jun",
      "volume": 2013,
      "number": 6,
      "pages": "06018"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013JSMTE..06..018O"
    }
  }
}