Structurization of the instability zone and crystallization

A mathematical model is proposed to describe the process of crystallization. This model reflects experimentally established properties of structure formation in instability zones. Contemporary approaches to the theoretical description of crystallization yield values of the solid phase growth rate that differ, by several orders, from those observed in experiments. This fact stimulated the construction of a mathematical object that reproduces the basic instabilities of the process and stabilizes their feedback. The creation of this object required matching between the micro and the macro scales, as well as between wave and diffusion processes. The paper also gives a physical interpretation and results of the numerical analysis of the said model.