Diffusion Boundary Condition at Surface Steps
Materials Science
2015-06-03 v1 Mesoscale and Nanoscale Physics
Abstract
This Communication reports a geometrical factor that is necessary in the diffusion boundary condition across surface steps. Specifically, this factor relates adatom concentration to its spatial gradient at a surface step, and it describes the fraction of jump attempts that cross the step. In this Communication, the authors show that the factor is 1/\Pi using theoretical formulation and further verify the formulation using numerical simulations for triangular, square, and hexagonal surface lattices.
Cite
@article{arxiv.1112.1995,
title = {Diffusion Boundary Condition at Surface Steps},
author = {Xiaobin Niu and Hanchen Huang},
journal= {arXiv preprint arXiv:1112.1995},
year = {2015}
}