{
  "id": "cond-mat/0703226",
  "version": "v1",
  "published": "2007-03-08T22:02:23.000Z",
  "updated": "2007-03-08T22:02:23.000Z",
  "title": "Autocorrelation functions in phase-ordering kinetics from local scale-invariance",
  "authors": [
    "Malte Henkel",
    "Florian Baumann"
  ],
  "comment": "Latex2e, 41 pages with 4 figures included, IOP macros",
  "journal": "J.Stat.Mech.0707:P07015,2007",
  "doi": "10.1088/1742-5468/2007/07/P07015",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The explicit calculation of the scaling form of the two-time autocorrelation function in phase-ordering kinetics and in those cases of non-equilibrium critical dynamics where the dynamical exponent z=2 through the extension of dynamical scaling to local scale-invariance is reviewed. Conceptually, this mainly requires an extension from the usually considered d-dimensional ageing or Schr\\\"odinger algebras to a new kind of representation of the conformal algebra in d+2 dimensions. Explicit tests in several exactly solved models of simple magnets and through simulations in the 2D Ising and q-states Potts models (q=2,3,8) quenched to T<T_c are presented and the extension to systems with non-equilibrium steady-states is discussed through two exactly solvable models as well. In the context of surface growth models, possible generalizations for a dynamical exponent z=4 and beyond are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-03-08T22:02:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.70.Ln",
      "75.40.Mg",
      "11.25.Hf",
      "64.60.Ht"
    ],
    "keywords": [
      "local scale-invariance",
      "phase-ordering kinetics",
      "dynamical exponent",
      "two-time autocorrelation function",
      "q-states potts models"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2007,
      "month": "Jul",
      "volume": 2007,
      "number": 7,
      "pages": 7015
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 746459,
      "adsabs": "2007JSMTE..07...15H"
    }
  }
}