Cellular growth near absolute stability

K. Brattkus*, S. H. Davis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

50 Scopus citations


We derive a strongly nonlinear evolution equation for the interface of a directionally solidified binary alloy when surface energies are large. This equation includes interfacial acceleration and the nonlinear effects of surface tension. Bifurcation analysis on this equation reveals that planar interfaces immediately develop three-dimensional structure, and, when the segregation coefficient is near unity, stable hexagonal solutions are found.

Original languageEnglish (US)
Pages (from-to)11452-11460
Number of pages9
JournalPhysical Review B
Issue number16
StatePublished - 1988
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics


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