Noise Reduction and Universality in Limited Mobility Models of Nonequilibrium Growth

TL;DR

This paper demonstrates that a noise reduction technique in limited mobility growth models helps identify their universality class, with specific results for a 1D molecular beam epitaxy model showing it belongs to the nonlinear continuum fourth order conserved growth class.

Contribution

It introduces a noise reduction method that simplifies the analysis of universality classes in nonequilibrium growth models, specifically confirming the universality class of a 1D MBE model.

Findings

Noise reduction suppresses high steps and grooves.

Critical exponents for 1D MBE model are determined.

Universality class identified as nonlinear fourth order conserved growth.

Abstract

We show that a multiple hit noise reduction technique involving the acceptance of only a fraction of the allowed atomistic deposition events could, by significantly suppressing the formation of high steps and deep grooves, greatly facilitate the identification of the universality class of limited mobility discrete solid-on-solid conserved nonequilibrium models of epitaxial growth. In particular, the critical growth exponents of the discrete one dimensional molecular beam epitaxy growth model are definitively determined using the noise reduction technique, and the universality class is established to be that of the nonlinear continuum fourth order conserved epitaxial growth equation.