paper

Tip Oscillation of Dendritic Patterns in a Phase Field Model

arXiv:nlin/0212040 · doi:10.1143/PTP.109.43

Abstract

We study dendritic growth numerically with a phase field model. Tip oscillation and regular side-branching are observed in a parameter region where the anisotropies of the surface tension and the kinetic effect compete. The transition from a needle pattern to a dendritic pattern is conjectured to be a supercritical Hopf bifurcation.

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Tip Oscillation of Dendritic Patterns in a Phase Field Model · wovepaper