Diffusion Boundary Condition at Surface Steps
arXiv:1112.1995 · doi:10.1016/j.jcrysgro.2012.04.015
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/Πusing theoretical formulation and further verify the formulation using numerical simulations for triangular, square, and hexagonal surface lattices.