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We study a continuum random-field model of domain growth in quenched nonequilibrium systems. We derive an equation of motion for the interfaces separating domains and find approximate solutions for the growth laws in two and three dimensions. We find what may be a dynamical mechanism for the theoretical prediction that the lower critical dimension of this model is d₁=2. Our theoretical predictions can be tested experimentally or by computer simulation.
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Grant et al. (1984) studied this question.
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