Growth in a restricted solid-on-solid model

Abstract

Extensive simulations of growth in a stochastic ballistic deposition model on a (d-1)-dimensional substrate with a constraint on neighboring interface heights are described. The interface width obeys scaling even for small systems and grows as ${t}^{\ensuremath{\beta}}$ with \ensuremath{\beta}=1/(d+1). Generalizations to include irrevelant effects such as noise reduction are discussed as are possible reasons for the discrepancies in earlier results.