Restricted curvature model with suppression of extremal height - art. no. 051605

摘要

A discrete growth model with a restricted curvature constraint is investigated by measuring both the surface width and the height difference correlation function. In our model, where an extremal height is suppressed, the surface width W shows the roughness exponent alphaapproximate to0.561 and the dynamics exponent zapproximate to1.69 in one substrate dimension. However the correlation function has an unusual scaling behavior and produces different wandering exponent alpha'approximate to1.33 and its dynamic exponent z'approximate to4. The discrepancy is due to the fact that the correlation length increases with a power law t(1/z') until it reaches the value proportional to L-delta at time t(s)similar toL(z), where L is the system size and delta is the "window exponent" satisfying the relation delta=z/z'=alpha/alpha'. delta is a new exponent to characterize the window size of the system. [References: 15]