Derivation of the general equation of the kinetics of phase transformation with nucleation and growth mechanism

摘要

The fundamentals of a new method of theoretically studying the kinetics of the phase transformation with nudeation and growth mechanism are demonstrated.Startingfromfinite,heterogeneous system,the survival probability of the individual sites for the given annealing time can be calculated by the present treatment,so that the kinetics equation under general conditions can be derived.In comparison to the classical treatment,the new derivations are not only rigorous and transparent,but also can be used to deal with the non-homogeneous systems and the non-steady process.Also the problems concerning the interference of more than one simultaneously occurring transformations and the correlation between different sites can be studied.