Tip oscillation of dendritic patterns in a phase field model. II

Hidetsugu Sakaguchi; Seiji Tokunaga

doi:10.1143/PTP.109.43

Tip oscillation of dendritic patterns in a phase field model. II

Hidetsugu Sakaguchi, Seiji Tokunaga

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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.

Original language	English
Pages (from-to)	43-50
Number of pages	8
Journal	Progress of Theoretical Physics
Volume	109
Issue number	1
DOIs	https://doi.org/10.1143/PTP.109.43
Publication status	Published - Jan 2003

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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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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AB - 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. II

Abstract

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