SOME ASYMPTOTIC RESULTS FOR THE EFFECT OF COMPOSITION-DEPENDENT DIFFUSION ON THE GROWTH RATES OF PRECIPITATE PARTICLES

Abstract

Asymptotic results are presented for the growth rates of precipitate particles whose growth is diffusion-controlled, and the diffusion coefficient in the matrix phase is composition-dependent. Formulae are obtained for the growth of particles where the growth is either very fast or very slow for quite general dependencies of diffusion coefficient on composition.