An analytical solution was presented for the dissociative and kick-out diffusion mechanisms in a 1-dimensional region which was bounded by 2 parallel surfaces. The rapid recovery of equilibrium conditions for vacancies and interstitial matrix atoms was assumed, so as to make the diffusion equation linear. Results for diffusion into a plate having a high dislocation density were considered. The rapid-recovery assumption could be verified by using the present solution.

An Analytic Solution of the Dissociative and Kick-Out Diffusion Mechanisms. T.Kasuya, M.Fuji: Journal of Applied Physics, 2000, 88[1], 594-6