Physics – Condensed Matter
Scientific paper
1994-01-31
Physics
Condensed Matter
11 pages, REVTeX 3.0, IC-DDV-93-006
Scientific paper
10.1103/PhysRevB.49.5769
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.
Kotrla Miroslav
Smilauer Pavel
No associations
LandOfFree
Crossover effects in the Wolf-Villain model of epitaxial growth in 1+1 and 2+1 dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Crossover effects in the Wolf-Villain model of epitaxial growth in 1+1 and 2+1 dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Crossover effects in the Wolf-Villain model of epitaxial growth in 1+1 and 2+1 dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-395635