A model was proposed for the dissociative mechanism of solid-state diffusion, and was analyzed by using asymptotic and numerical methods. The substitutional impurity was fixed to be singly-negatively charged, while the interstitial impurity could carry any charge, and the vacancies could carry any non-negative charge. The 1-dimensional in-diffusion problem was considered, and impurity diffusion was shown to be very sensitive to the charge states of the interstitial impurities and vacancy defects. Some of the results were of interest with regard to the general properties of systems of non-linear diffusion equations; especially with respect to phenomena which were related to finite speeds of propagation.

The Dissociative Diffusion Mechanism with Charge Effects – I. One-Dimensional In-Diffusion. M.G.Meere, J.R.King: Quarterly Journal of Mechanics and Applied Mathematics, 2001, 54[3], 469-500