Size distribution in dislocation-matrix diffusion

Abstract

We have calculated the particle size distribution function f(r,t) and the asymptotic changes in the average values (r), or the critical dimensions r_k, when mass is transfered by dislocation-matrix diffusion. The calculations were performed using LSW (Lifshits, Slezov, and Wagner) theory under the conditions where the total flow j to the particle (or from the particle) is composed of two streams j_v and j_d. These two streams are due, respectively, to volume or matrix diffusion and to diffusion along dislocation tubes. We show that the behavior of f(r,t) depends on the relationship between the two streams j_v and j_d.