Competition between kinetic and surface tension anisotropy in dendritic growth

The combined effect of an anisotropic surface tension and interface kinetic s in dendritic crystal growth is studied numerically by a fully dynamical f ront-tracking method in two dimensions. It is shown how kinetic effects can be incorporated into the algorithm without causing numerical instabilities . The results are compared to the theory of E.A. Brener and V.I. Mel'nikov (Adv. Phys. 40, 53 (1991)). A particularly interesting case arises when the directions of minimum surface tension and minimum kinetic effect are diffe rent. In this case, when the deviation from local equilibrium is increased, the predicted transition from dendrites growing into the direction of the minimum surface stiffness to the direction of minimum kinetic effect is con firmed. Dendrites near this transition show strong oscillations and correla ted side-branching. The transition where the oscillating dendrites change d irection shows hysteresis.