Relaxation of the step profile for different microscopic mechanisms

Theoretical and experimental studies of the rate of decay of metastable structures are compared quantitatively. The effect of decay mechanism, size, and periodicity of the structure on the rate of decay is evaluated within both a coarse-grained step-based model and a continuum model. For high-amplitude structures, the decay scales with size (N) and time as (t/N-alpha)(-beta). The exponents alpha and beta depend on the mass transport mechanism. The size scaling is alpha=4 for locally conserved diffusive flux and alpha=2 for locally nonconserved flux. The time scaling exponent is beta=1/5 for diffusive limited mass transport and beta=1/4 for step attachment limited mass transport. Experiments were performed on metastable structures of controlled sizes 3-5 nm in height, prepared by direct current heating on Si(111). Quantitative agreement with theoretical predictions of both scaling (alpha=4.3+/-0.5, beta=0.2+/-0.3) and absolute rate of decay were obtained. (C) 1996 American Vacuum Society.