Perturbation theory in the kinetics of first-order phase transitions

Perturbation theory is applied to the description of the kinetics of a first-order phase transition illustrated by thin film growth. A small parameter was chosen as the quantity 1/ic, where ic is the number of particles in a critical nucleus under maximum supersaturation in the course of the phase transition. Uniform convergence of the expansions obtained is reached through time renormalization. The cases of single- and multi-component condensation have been studied.