Comparison of Johnson-Mehl-Avrami-Kologoromov kinetics with a phase-field model for microstructural evolution driven by substructure energy

The nucleation and growth of recrystallized grains or pearlite colonies can be viewed as a structural phase transition and modeled with a set of phase-field equations. Such a micromechanical formulation is consistent with the viewpoint taken in deriving the Johnson-Mehl-Avrami-Kologoromov (JMAK) equation and delivers essentially the same volume fraction kinetics. The differences can be explained in terms of the idealizations