Crossover effects in the Wolf-Villain model of epitaxial growth in 1+1 and 2+1 dimensions.
نویسندگان
چکیده
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 βeff ≈0.37 to βeff ≈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 ζ eff obtained from the height–height correlation functions in 1+1 D (≈ 3/4) and 2+1 D (≈ 2/3) cannot be simultaneously explained by any of the continuum equations proposed so far to describe epitaxial growth. 68.55.-a,68.35.Fx,61.50.Cj,64.60.Ht Typeset using REVTEX
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عنوان ژورنال:
- Physical review. B, Condensed matter
دوره 49 8 شماره
صفحات -
تاریخ انتشار 1994