{
  "id": "cond-mat/0402196",
  "version": "v3",
  "published": "2004-02-06T15:07:47.000Z",
  "updated": "2004-04-16T15:47:27.000Z",
  "title": "Local scale-invariance and ageing in noisy systems",
  "authors": [
    "Alan Picone",
    "Malte Henkel"
  ],
  "comment": "Latex2e, 45 pages, no figures, final form",
  "journal": "Nucl.Phys. B688 (2004) 217-265",
  "doi": "10.1016/j.nuclphysb.2004.03.028",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The influence of the noise on the long-time ageing dynamics of a quenched ferromagnetic spin system with a non-conserved order parameter and described through a Langevin equation with a thermal noise term and a disordered initial state is studied. If the noiseless part of the system is Galilei-invariant and scale-invariant with dynamical exponent z=2, the two-time linear response function is independent of the noise and therefore has exactly the form predicted from the local scale-invariance of the noiseless part. The two-time correlation function is exactly given in terms of certain noiseless three- and four-point response functions. An explicit scaling form of the two-time autocorrelation function follows. For disordered initial states, local scale-invariance is sufficient for the equality of the autocorrelation and autoresponse exponents in phase-ordering kinetics. The results for the scaling functions are confirmed through tests in the kinetic spherical model, the spin-wave approximation of the XY model, the critical voter model and the free random walk.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2004-04-16T15:47:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "64.60.Ht",
      "11.25.Hf"
    ],
    "keywords": [
      "local scale-invariance",
      "noisy systems",
      "disordered initial state",
      "two-time linear response function",
      "thermal noise term"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 644524
    }
  }
}