Linear stability of needle crystals in the boundary-layer model of dendritic solidification

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Abstract

We perform the linear-stability analysis in the boundary-layer model of dendritic solidification using both the direct matrix-diagonalization method and the differential-equation integration method. The fastest needle-crystal steady state is found to be linearly stable for nonzero anisotropy; successively slower needle crystals have successively more unstable modes. This result agrees with those previously obtained on other models.

Original languageEnglish (US)
Pages (from-to)407-417
Number of pages11
JournalPhysical Review A
Volume38
Issue number1
DOIs
StatePublished - Jan 1 1988

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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