Monte Carlo simulation study of domain growth in an Ising spin glass

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Abstract
Domain growth after a quench into the ordered phase is studied for the simple-cubic nearest-neighbor Gaussian Ising spin-glass model. A suitably defined time-averaged local overlap between two replicas is used to locate the domains and domain walls. The logarithmic domain growth rate dR(t)/d(logt), appears to increase with time t where R(t) is a measure of the linear size of the compact domains that are present. The effective fractal dimensionality of the domain walls is estimated. The bearing of the results on the many states versus two states controversy is briefly discussed.