Discrete Solid-On-Solid Model of Interface with Bending Rigidity: Restricted and Unrestricted Step Sizes

Abstract

We report the results of imposing a physically motivated restriction on the step sizes in a (d + 1)-dimensional discrete solid-on-solid (SOS) model, which we have proposed recently (Phys. Rev.E54, 2670 (1996)) for a d-dimensional interface with bending stiffness and interfacial tension. We clarify some features of this model in the absence of such restrictions. We also draw analogies between the relaxation to thermally roughened equilibrium states of these SOS models and nonequilibrium growth of some kinetically roughened model surfaces.