Mathematical theory of diffusion in solids: solutions in the semi-infinite body and solution to a diffusion problem with a variable boundary condition
Materials Science
2023-02-09 v3
Abstract
A review of solutions of solid-state diffusion problems in infinite and semi-infinite bodies is presented. Based on the identified solutions for the semi-infinite body a two-step diffusion problem is discussed in detail with the first step characterized by a Dirichlet constant concentration condition and the second step by a Neumann condition.
Keywords
Cite
@article{arxiv.2301.05199,
title = {Mathematical theory of diffusion in solids: solutions in the semi-infinite body and solution to a diffusion problem with a variable boundary condition},
author = {Guglielmo Macrelli},
journal= {arXiv preprint arXiv:2301.05199},
year = {2023}
}
Comments
15 pages, 68 Equations, 1 Appendix, 10 References