Europhys. Lett.
Volume 68, Number 2, October 2004
Page(s) 191 - 197
Section General
Published online 01 October 2004
Europhys. Lett., 68 (2), pp. 191-197 (2004)
DOI: 10.1209/epl/i2004-10180-y

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

M. Henkel1, A. Picone1 and M. Pleimling2

1  Laboratoire de Physique des Matériaux (CNRS UMR 7556), Université Henri Poincaré, Nancy I - B.P. 239, F-54506 Vandoeuvre lès Nancy Cedex, France
2  Institut für Theoretische Physik I, Universität Erlangen-Nürnberg D-91058 Erlangen, Germany

received 21 April 2004; accepted in final form 16 August 2004

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.

05.70.Ln - Nonequilibrium and irreversible thermodynamics.
64.60.Ht - Dynamic critical phenomena.
11.25.Hf - Conformal field theory, algebraic structures.

© EDP Sciences 2004