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

TL;DR

This paper introduces a local scale-invariance approach, extending dynamical scaling to predict the two-time autocorrelation function in phase-ordering kinetics, validated by Monte Carlo simulations of the 2D Ising model.

Contribution

It proposes a novel local scale-invariance framework, a new form of conformal invariance, to analytically determine autocorrelation functions in phase-ordering systems.

Findings

Predicted autocorrelation function matches Monte Carlo data

Extension of dynamical scaling to local scale-invariance

New conformal invariance version applied to phase-ordering

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.