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- W1968654589 abstract "A simple model of epitaxial growth proposed by Wolf and Villain is investigated using extensive computer simulations. We find an unexpectedly complex crossover behavior of the original model in both 1+1 and 2+1 dimensions. A crossover from the effective growth exponent $beta_{rm eff}!approx!0.37$ to $beta_{rm eff}!approx!0.33$ is observed in 1+1 dimensions, whereas additional crossovers, which we believe are to the scaling behavior of an Edwards--Wilkinson type, are observed in both 1+1 and 2+1 dimensions. Anomalous scaling due to power--law growth of the average step height is found in 1+1 D, and also at short time and length scales in 2+1~D. The roughness exponents $zeta_{rm eff}^{rm c}$ obtained from the height--height correlation functions in 1+1~D ($approx!3/4$) and 2+1~D ($approx!2/3$) cannot be simultaneously explained by any of the continuum equations proposed so far to describe epitaxial growth." @default.
- W1968654589 created "2016-06-24" @default.
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- W1968654589 date "1994-02-15" @default.
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- W1968654589 title "Crossover effects in the Wolf-Villain model of epitaxial growth in 1+1 and 2+1 dimensions" @default.
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- W1968654589 doi "https://doi.org/10.1103/physrevb.49.5769" @default.
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