A Discrete Solid-on-Solid Model for Nonequilibrium Growth Under Surface Diffusion Bias

TL;DR

This paper introduces a new discrete solid-on-solid model for nonequilibrium surface growth with diffusion bias, revealing complex morphologies and unique dynamical behaviors not captured by existing continuum models.

Contribution

The study presents a novel discrete model for nonequilibrium surface growth under diffusion bias, with large-scale simulations showing complex morphologies and distinct dynamical exponents.

Findings

Complex surface morphologies observed in simulations.

Dynamical evolution differs from existing continuum models.

Quantitative critical exponents for coarsening and roughening.

Abstract

A limited mobility nonequilibrium solid-on-solid dynamical model for kinetic surface growth is introduced as a simple description for the morphological evolution of a growing interface under random vapor deposition and surface diffusion bias conditions. Large scale stochastic Monte Carlo simulations using a local coordination dependent instantaneous relaxation of the deposited atoms produce complex surface morphologies whose dynamical evolution is not consistent with any of the existing continuum dynamical surface growth equations. Critical exponents for coarsening and roughening dynamics of the morphological evolution are quantitatively calculated using large scale simulations.