A kinematical model of homogeneous phasehyphen;transition kinetics involving the simultaneous growth of multiple phases

摘要

A model is developed for homogeneous phasehyphen;transition kinetics in a system for which multiple secondary phases are simultaneously growing from a supersaturated primary phase. The approach is entirely kinematical in nature, with no account being taken of the actual physics of the nucleation/growth process. Randomly dispersed nuclei are assumed to act as growth centers for each of the respective phases, which grow at timehyphen;dependent rates that are generally different for different phases. Expressions are derived for the timehyphen;dependent volume fraction occupied by all the phases as well as by each individual phase. The results are illustrated by application to a simple example.