Study of a pair of coupled continuum equations modeling surface growth

TL;DR

This paper introduces coupled continuum equations to model surface growth with evaporation and accretion, analyzing the dynamics through perturbative techniques and numerical data, revealing a crossover from roughening to smoothening regimes.

Contribution

It presents a novel coupled continuum model for surface growth incorporating evaporation and accretion effects, analyzed with perturbative and numerical methods.

Findings

Identification of a crossover from roughening to smoothening regimes

Analysis of growth dynamics using one-loop perturbative techniques

Numerical validation of the model's behavior

Abstract

In this communication we introduce a pair of coupled continuum equations to model overlayer growth with evaporation-accretion due to thermal or mechanical agitations of the substrate. We gain insight into the dynamics of growth via one-loop perturbative techniques. This allows us to analyze our numerical data. We conclude that there is a crossover behaviour from a roughening regime to a very long-time, large length scale smoothening regime.