Universality of (2+1)-dimensional restricted solid-on-solid models

TL;DR

This study uses advanced simulations to demonstrate that (2+1)-dimensional restricted solid-on-solid models universally follow KPZ surface growth scaling, with larger step heights increasing correction effects but not altering the fundamental scaling behavior.

Contribution

It provides numerical evidence that these models exhibit universal KPZ scaling regardless of step height, highlighting the impact of step size on scaling corrections.

Findings

Models exhibit KPZ scaling regardless of step height

Increasing step height amplifies corrections to scaling

Smaller step models better approximate asymptotic behavior

Abstract

Extensive dynamical simulations of Restricted Solid on Solid models in $D=2+1$ dimensions have been done using parallel multisurface algorithms implemented on graphics cards. Numerical evidence is presented that these models exhibit KPZ surface growth scaling, irrespective of the step heights $N$. We show that by increasing $N$ the corrections to scaling increase, thus smaller step-sized models describe better the asymptotic, long-wave-scaling behavior.