Mathematical Simulation of the Crystal Nucleation and Growth at the Intermediate Stage of a Phase Transition

Abstract

The crystal nucleation and growth in supercooled melts and supersaturated solutions are theoretically studied with allowance for the “diffusion” term in a kinetic equation for a distribution function. The flux of crystals of a given size from a metastable system and the heat flow from it are taken into account, and the nucleation frequency is considered according to the Meirs kinetics. Analytical solutions to stationary and nonstationary problems are obtained.