Steady-state dendritic crystal growth

David A. Kessler, Joel Koplik, Herbert Levine

Research output: Contribution to journalArticlepeer-review

32 Scopus citations


We study the problem of velocity and shape selection in the growth of dendritic crystals. We demonstrate that the presence of surface tension destroys the Ivantsov family of solutions at all but a single velocity. This occurs at all undercoolings and for both two-dimensional and axisymmetric three-dimensional dendrites. The lack of a continuous family of solutions is due to a mismatch of terms exponentially small in velocity, in agreement with the mechanism of microscopic solvability previously derived for geometrical growth models.

Original languageEnglish
Pages (from-to)3352-3357
Number of pages6
JournalPhysical Review A
Issue number5
StatePublished - 1986
Externally publishedYes


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