Phase transition kinetics in the case of nonrandom nucleation

A theoretical model is developed for describing phase transition kinetics occurring by nucleation and growth processes. The model treats the case of spatially correlated nuclei and applies to any kind of nucleation function. A stochastic approach is employed that gives the fraction of transformed phase as a function of a series in terms of the m-dots correlation functions. Truncation of the expansion up to the second order in the correlation functions leads to an analytical solution. Computer simulations based on the hard core model have been also performed confirming the goodness of the analytical approach.