Revisiting the dynamics of crystal growth in local inhomogeneuos and inequilibrium melt

S.O. Gladkov


Using the dissipative function method, a formal mechanism for description of the evolutionary crystal growth in the inhomogeneous melt at temperatures close to the crystallization temperature was proposed. An angular momentum M of inequilibrium elementary crystals, “sticky” on locally isolated nucleation centers, stochastically scattered throughout the volume of a heterogeneous medium was selected as a description parameter. The solution is based on a phenomenological approach and the derivation of evolution equations that allow  adequately describing not only the dynamics of crystal growth, but also their shape.