A cellular automaton for the description of crystal growth from the supersaturated unperturbed and agitated solutions

A cellular automaton was constructed for modeling various modes of crystal growth, yielding, in particular, monolithic, acicular, and snowflakelike cr ystals. Crystal growth on a 2D hexagonal lattice was considered. Each cell of the lattice was characterized by concentration and temperature fields an d by a phase state variable equal to 1 or 0 for the solid and liquid states , respectively. Algorithms for the transition of a cell from the liquid to the solid state and for the turbulent mixing of solution were developed whi ch make it possible to adequately describe various modes of crystal growth both without convection and in the presence of a fully developed turbulence .