Non-algebraic domain growth in random magnets: a cell dynamical approach

Abstract

The authors develop a novel numerical approach, based on a computationally efficient cell dynamical system (CDS) model, for studying the kinetics of ordering in systems (described by a non-conserved order parameter) with quenched disorder, evolving from unstable initial states. They use this model to study the kinetics of domain growth in a coarse-grained version of the random exchange Ising model. Their numerical data strongly indicate quantitative agreement with the theoretically predicted asymptotic growth law over a limited range of disorder amplitudes. They also compare their observations with those in laboratory experiments and make important predictions regarding dynamical scaling in these systems.