2019/11/17 by Ribera, Helena, Wetton, Brian, Myers, Timothy
#FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)
paper · doi:10.48550/arxiv.1911.07359
In this paper we detail the mechanisms that drive substitutional binary diffusion and derive appropriate governing equations. We focus on the one-dimensional case with insulated boundary conditions. Asymptotic expansions are used in order to simplify the problem. We are able to obtain approximate analytical solutions in two distinct cases: the two species diffuse at similar rates, and the two species have largely different diffusion rates. A numerical solution for the full problem is also described.