Shallow cells in directional solidification

G. J. Merchant*, S. H. Davis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


We present existing theory on two-dimensional transitions (appropriate to thin parallel-plate geometries) in such a way that one can identify easily conditions for the onset of shallow cells. By doing so we can give conditions under which succinonitrile-acetone mixtures should undergo supercritical bifurcation in experimentally accessible ranges. These results suggest a means for the quantitative test of the Mullins and Sekerka model and its weakly nonlinear extensions.

Original languageEnglish (US)
Pages (from-to)573-575
Number of pages3
JournalPhysical review letters
Issue number5
StatePublished - 1989

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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