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We study the dynamics of the roughening of a surface between two coexisting phases using a novel Monte Carlo algorithm. Our model Hamiltonian explicitly contains a latent heat whose value directly influences the growth law. We observe a crossover between short-wavelength short-time behavior controlled by the surface tension and long-wavelength long-time behavior controlled by the diffusion of heat. The results are in excellent agreement with recent theoretical predictions.
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Jörgenson et al. (1989) studied this question.
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