Tip Oscillation of Dendritic Patterns in a Phase Field Model

Details Tip Oscillation of Dendritic Patterns in a Phase Field Model Tip Oscillation of Dendritic Patterns in a Phase Field Model

2002-12-18

arxiv.org/abs/nlin/0212040v1

Nonlinear Sciences

Pattern Formation and Solitons

5 figures

Scientific paper

10.1143/PTP.109.43

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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