Mathematical theory of diffusion in solids: solutions in the semi-infinite body and solution to a diffusion problem with a variable boundary condition

2023/01/12 by Macrelli, Guglielmo
#FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci)

paper · doi:10.48550/arxiv.2301.05199

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.

Related

• The Mathematical Theory Of Diffusion In Solids: Time Dependent First Kind Boundary Conditions
• The Mathematics of Diffusion
• DIFFUSION IN MULTICOMPONENT METALLIC SYSTEMS: I. PHENOMENOLOGICAL THEORY FOR SUBSTITUTIONAL SOLID SOLUTION ALLOYS
• Mathematical model for substitutional binary diffusion in solids
• Solid-State Diffusion: An Introduction