Generalized kinetics of overall phase transition explicit to crystallization

Modeling of process for reaction kinetics is a fashionable subject of publications. This paper tests various phenomenological models starting with the Verhulst logistic functions, Kolmogorov adaptation up to the renowned KJMA and SB variants. The meaning of both the mortality (α) and fertility (1 − α) terms are mathematically analyzed in detail involving variation of their power exponents, their characteristic points, and shape examination of the rate curves. Kolmogorov derivation of nucleation-growth process is revised.