Abstract
The relaxation of periodic surface profiles above roughening is studied in the framework of one-dimensional (1+1) SOS and Gaussian models, using Monte Carlo techniques. For particle transport by surface diffusion and evaporation-condensation the classical description by Mullins, yielding an exponential temporal decay in the amplitude of a sinusoidal profile, is recovered only when the amplitude is sufficiently small compared to the wavelength. Deviations from the asymptotic behavior are attributed, among other things, to anisotropy of the surface free energy. It is shown analytically that for the 1+1 SOS model, free energy anisotropy should be unimportant providedA/L≫exp(−K) (whereA is amplitude,L is wavelength, andK=J/T withJ the coupling constant andT the dimensionless temperature).
Published Version
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