Single-Particle Diffusion-Coefficient on Surfaces with Ehrlich-Schwoebel-Barriers

TL;DR

This paper derives exact formulas for the diffusion coefficient of particles on surfaces with Ehrlich-Schwoebel barriers, extending to various surface configurations and validating results with Monte Carlo simulations.

Contribution

It provides the first exact expressions for diffusion coefficients on surfaces with ESB and extends analysis to different surface geometries.

Findings

Exact diffusion coefficient formulas for linear chains with random ESB arrangements

Extension of results to surfaces with uniform ESB in one or both directions

Validation of theoretical results through Monte Carlo simulations

Abstract

The diffusion coefficient of single particles in the presence of Ehrlich-Schwoebel barriers (ESB)is considered. An exact expression is given for the diffusion coefficient on linear chains with random arrangements of ESB. The results are extended to surfaces having ESB with uniform extension in one or both directions. All results are verified by Monte Carlo simulations.