https://doi.org/10.1007/PL00011060
Competition between kinetic and surface tension anisotropy in dendritic growth
Minnesota Supercomputer Institute,
University of Minnesota,
1200 Washington Ave. South,
Minneapolis, MN 55415, USA
Received:
30
September
1999
Revised:
23
February
2000
Published online: 15 July 2000
The combined effect of an anisotropic surface tension and interface kinetics in dendritic crystal growth is studied numerically by a fully dynamical front-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 different. 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 confirmed. Dendrites near this transition show strong oscillations and correlated side-branching. The transition where the oscillating dendrites change direction shows hysteresis.
PACS: 81.10.Aj – Theory and models of crystal growth; physics of crystal growth, crystal morphology and orientation / 68.70.+w – Whiskers and dendrites (growth, structure, and non-electronic properties) / 05.70.Fh – Phase transitions: general studies
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
