Pattern selection in dendritic solidification

E. Ben-Jacob, Nigel Goldenfeld, B. G. Kotliar, J. S. Langer

Research output: Contribution to journalArticlepeer-review

149 Scopus citations


We show that the dynamically selected velocity and tip radius of dendrites in the boundary-layer model of solidification have the special values which permit the existence of steady-state needle-crystal solutions. This result, in conjunction with considerations of stability, provides new insight concerning the validity of the marginal stability hypothesis.

Original languageEnglish (US)
Pages (from-to)2110-2113
Number of pages4
JournalPhysical review letters
Issue number22
StatePublished - 1984
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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