A soluble model of domain growth in one-dimensional disordered systems

Abstract

We introduce a new algorithm for domain growth in disordered systems at low temperatures based on the tendency for such a system to freeze into metastable states. We apply the algorithm to the d=1 random-bond Ising model for a variety of bond distributions. The analytical forms we obtain for the two-point correlation function and autocorrelation function agree well with numerical simulations of the model. These forms are not the same as those of the pure Ising model with Glauber dynamics.