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We report the first Monte Carlo simulation on the critical relaxation of the three-dimensional kinetic Ising model with free surfaces. The surface-layer magnetization is shown to relax as t^-β₁νz at T=Tc, while the bulk magnetization relaxes as t^-βνz. The dynamic bulk-to-surface crossover is discussed in view of the dynamic scaling theory.
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Kikuchi et al. (1985) studied this question.
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