P. Perriat et B. Gillot, A MODEL FOR COUPLED DIFFUSION REACTIONS IN MN-ZN FERRITES - GENERALIZATION OF THE FICKSS FIRST LAW, Solid state ionics, 67(1-2), 1993, pp. 35-43
To describe the coupled diffusion reactions of the Mn2+ and the Mn3+ i
ons oxidation in Mn-Zn ferrites, we have generalized the Fick's first
law. Such an equation is available to describe the diffusion of a spec
ies in a concentration gradient with additional conditions of minimal
and maximal values varying at each point in the material. The diffusio
n equations have then been solved by using the finite element method.