Anisotropic interface kinetics and tilted cells in unidirectional solidification

G. W. Young*, S. H. Davis, K. Brattkus

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

50 Scopus citations


We derive a nonlinear evolution equation governing the cellular structure of a binary alloy having small segregation coefficient, including the effects of anisotropic interface kinetics. This equation, applicable to long-wave instabilities of a planar interface, describes the spatial pattern of the growing disturbances. The presence of anisotropy causes the cells to grow at an angle to the normal of the planar front. This transition to a cellular morphology is shown to be a subcritical instability.

Original languageEnglish (US)
Pages (from-to)560-571
Number of pages12
JournalJournal of Crystal Growth
Issue number4
StatePublished - Jul 1 1987

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Inorganic Chemistry
  • Materials Chemistry


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