On the generalisation of JMAK's theory

In their pioneer work Johnson-Mehl, Avrami and Kolmogorov (JMAK) developed well-known analytical expressions to describe the transformation kinetics of nucleation and growth transformations. Their work and its subsequent development has been extensively applied by Vandermeer and coworkers to recrystallisation studies. With the help of methods from Stochastic Geometry it has been possible to generalise JMAK's equations to situations well beyond their original assumptions. Although the motivation for this paper was recrystallisation the expressions derived here may be applied to nucleation and growth reactions in general