KINETIC SUPERROUGHENING AND ANOMALOUS DYNAMIC SCALING IN NONEQUILIBRIUM GROWTH-MODELS

We argue that recently introduced models of surface-diffusion-driven nonequilibrium growth that are characterized by critical roughness exponents (alpha) exceeding unity (''super-rough'' growth) exhibit an ''anomalous'' form of dynamic scaling whose asymptotic behavior is different from the usual scaling behavior of self-affine kinetic growth models with alpha < 1. We propose a generalized scaling function for super-rough (alpha > 1) growth and demonstrate its applicablity to several discrete nonequilibrium super-rough models.