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Two-time autocorrelation function in phase-ordering kinetics from local scale-invariance

Statistical Mechanics 2007-05-23 v2 Soft Condensed Matter High Energy Physics - Theory Mathematical Physics math.MP

Abstract

The time-dependent scaling of the two-time autocorrelation function of spin systems without disorder undergoing phase-ordering kinetics is considered. Its form is shown to be determined by an extension of dynamical scaling to a local scale-invariance which turns out to be a new version of conformal invariance. The predicted autocorrelator is in agreement with Monte-Carlo data on the autocorrelation function of the 2D kinetic Ising model with Glauber dynamics quenched to a temperature below criticality.

Keywords

Cite

@article{arxiv.cond-mat/0404464,
  title  = {Two-time autocorrelation function in phase-ordering kinetics from local scale-invariance},
  author = {Malte Henkel and Alan Picone and Michel Pleimling},
  journal= {arXiv preprint arXiv:cond-mat/0404464},
  year   = {2007}
}

Comments

Latex2e, 7 pages with 2 figures, with epl macro, final from, to appear in EPL