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- W2152551915 abstract "We derive continuous stochastic equations governing the asymptotic behavior of growth from a master equation for discrete growth models with local relaxation. We consider several simple models of epitaxial growth (the Family, the Wolf-Villain, and the Das Sarma--Tamborenea models and their modifications). In 1+1 dimensions, we derive, for each model, the corresponding Langevin equation and identify leading terms that determine the universality class. Our results for models with local relaxation are in agreement with recent computer simulations. The applicability of the method in 2+1 dimensions is demonstrated in the case of the Family model. Problems of the procedure, in particular regularization in the continuous limit, are discussed. textcopyright{} 1996 The American Physical Society." @default.
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- W2152551915 date "1996-10-01" @default.
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- W2152551915 title "Stochastic equations for simple discrete models of epitaxial growth" @default.
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- W2152551915 doi "https://doi.org/10.1103/physreve.54.3933" @default.
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