Boundary Integral Equation Study of the Growth of a Dendritic Elliptic Paraboloid Crystal

Аннотация

The free growth of a dendrite crystal in the form of an elliptic paraboloid from a melt is analyzed. The exact solution of the problem is shown to coincide with the well-known Harvey–Cahn solution in the absence of anisotropy and the Gibbs–Thomson effect. A criterion for the stable growth of an elliptic paraboloid dendrite is formulated.