Roughening of a growing surface on a crystal with correlated disorder: influence of nonlinearity

TL;DR

This paper investigates how correlated disorder affects crystal growth, revealing that nonlinearity initially diminishes but can dominate at larger scales, using functional renormalization group analysis.

Contribution

It demonstrates the impact of correlated disorder on the nonlinear growth dynamics of crystals through a detailed renormalization group study.

Findings

Initial decay of KPZ nonlinearity due to correlated disorder

Large-scale behavior can be governed by nonlinearity

Long-range disorder correlation influences surface roughening

Abstract

We study the growth of a crystal in presence of a correlated disorder on the substrate. Using functional renormalization group, we show, for a long range disorder correlation, an initial decay of the KPZ type nonlinearity, though over a large length scale the behavior can be governed by the nonlinearity.