Mathematical Treatment of Competitive Surface and Volume Diffusion Processes
- 1 March 1964
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 35 (3) , 533-535
- https://doi.org/10.1063/1.1713408
Abstract
Equations are derived for the surface diffusion of atoms into a half‐plane (the boundary of which is kept at constant concentration) under conditions in which atoms are simultaneously being lost into the bulk via a volume diffusion mechanism. Two coupled boundary valued problems arise which are solved by treating the volume diffusion as a perturbation. Methods of evaluating the coefficient D8 of surface diffusion are discussed. The final surface concentration Ŝ resulting from the parasitic effect of volume diffusion contains three leakage terms. These terms have the effect of altering the time dependence of the concentration. This formulation is useful in interpreting surface diffusion data obtained in the high‐temperature range.This publication has 3 references indexed in Scilit:
- Surface Diffusion from a Point SourceJournal of Applied Physics, 1963
- Numerical Values for the Temperature in Radial Heat FlowJournal of Mathematics and Physics, 1955
- Calculation of Diffusion Penetration Curves for Surface and Grain Boundary DiffusionJournal of Applied Physics, 1951