Influence of periodie and random two-dimensional nuclei distribution on the recrystallization kinetics

The recrystallization process is modeled by using both a periodic lattice and a random array of nuclei for the two-dimensional, instantaneous nucleation case. Recrystallization kinetics is obtained with analytical expressions for the periodic model and computer-generated results for the random situation. The resulting kinetics shows some disagreement with the classical Johnson-Mehl-Avrami-Kolmorogav kinetics, and stresses the fact that there is a finite time for the completion of the whole process. The time for completion is calculated for the two-dimensional and three-dimensional cases.