Dendritic crystal growth in a pure undercooled melt is simulated quantitatively in three dimensions using a phase-field approach. The classic parameter σ* that characterizes the dynamically selected operating state of the dendrite tip as well as the full nonaxisymmetric tip morphology are determined as a function of anisotropy for a crystal with a cubic symmetry. Results are compared to experiment and used to critically test solvability theory.
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Karma et al. (1996) studied this question.
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