SCALING BEHAVIOR OF DRIVEN SOLID-ON-SOLID MODELS WITH DIFFUSION

We investigate a solid-on-solid model in which the interface of the de posit relaxes through a surface-diffusion process controlled by a loca l energy function and obeys detailed balance. We find that in the stea dy state the dynamic structure factor of the interface obeys scaling w ith exponents which, remarkably, are equal to those of the Edwards-Wil kinson model for sedimentation. Thus the interface fluctuations in two dimensions diverge only logarithmically and are therefore much smalle r than those of all previously proposed models. We discuss the relevan ce of these results to molecular beam epitaxy.