ABSTRACT

9.1. GROWTH KINETICS OF STRUCTURES IN THE NONLINEAR THEORY OF PHASE SEPARATION: ISOTROPIC CASE

The coalescence occurring in solutions in the process of phase separation is often described using the classical theory of Lifshitz and Slyozov,1 dealing with the time evolution of the size of a spherical nucleus and predicting a dependence ξ ~ t1/3 after a long period of time. The Lifshitz-Slyozov theory is based on the assumption that the interaction between nuclei is weak and the ratio of their size to the average distance between them is small. The asymptotic behavior of ξ(t) predicted by the theory applies to a wide range of physical systems, as confirmed by numerous experiments.