Relaxation of an isolated droplet in pure and random Ising magnets: Monte Carlo simulation

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Abstract
By Monte Carlo simulation the author investigated the relaxation of an isolated droplet in the two-dimensional pure Ising model below the ordering temperature Tc. For system sizes 1802 and 2402 the author observed a stretched exponential decay, namely C(t) approximately exp(-(t/ tau )12/), of the temporal spin autocorrelation function C(t) in the intermediate and long time regimes (of the order of 104 Monte Carlo steps spin-1). The author also computed the correlation function C(t) for the two-dimensional Ising model with quenched random site disorder out to 105 Monte Carlo steps spin-1 for system sizes up to 1802. The relaxation is much slower in the latter model than in the pure Ising model.