Mathematical model for substitutional binary diffusion in solids
Statistical Mechanics
2019-11-19 v1
Abstract
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.
Cite
@article{arxiv.1911.07359,
title = {Mathematical model for substitutional binary diffusion in solids},
author = {Helena Ribera and Brian Wetton and Timothy Myers},
journal= {arXiv preprint arXiv:1911.07359},
year = {2019}
}