Phase-field model for activated reaction fronts

We propose a phase-field model to describe reaction front propagation in activated transitions obeying Arrhenius kinetics. The model is applicable, for example, to the explosive crystallization of amorphous films. Two coupled fields interact during the reaction, a temperature field T(x,t) and a field C(x,t) describing the amorphous/crystal transition, which are continuous functions of space x and time t. Unlike previous work, our model …