Calculations of the complete morphological phase diagram for nonequilibrium growth of a spherical crystal under arbitrary surface kinetics

Abstract

Complete morphological diagrams (with stable, metastable, and absolutely unstable regions) were calculated for the problem of morphology selection under the conditions of nonequilibrium growth of a spherical crystal taking into account arbitrary kinetic process rates at the boundary and a linear dependence of the growth rate on supersaturation. The consideration was performed by jointly using linear stability analysis and the principle of maximum entropy production. The principal difference between kinetically and diffusion-controlled crystal growth is the possibility of the coexistence of three or more morphological phases under the same conditions in the former case. It was shown that, at the transition point, the rate of accretion of the growing crystal mass increased in a jump. The jump value was studied as a function of the parameters of the problem.