The authors give the results of mathematical modeling of the evolution of a dendritic structure with the aid of the model proposed in Ref. I. They show that, as also in experiment, on the side surface of the model dendrite secondary branches form and develop into the side structure. They make a detailed investigation of its evolution in the process of growth. They show that as time passes the side structure becomes coarser. They study the changes in the dendritic structure in relation to the supercooling. With increasing supercooling the structure becomes denser, then changes to a cellular form, and finally, when the supercooling is greater than one, there is a transition to globular growth forms. A comparison is made with the experimental results.
“Modeling the evolution of a dendritic structure”, A. Umantsev, V. Vinogradov and V. Borisov. Sov. Phys. Crystallography 31 (5), 596-599, (1986).