David A. Kessler, Joel Koplik, Herbert Levine

Research output: Contribution to journalConference articlepeer-review

2 Scopus citations


In order to understand the dynamics of pattern selection and sidebranch emission in dendritic (snowflake) growth, we develop a simplified local model for this process. Guided by the phenomenology and mathematics of heat-diffusion controlled growth, we construct a local evolution equation for the solid boundary, and show that it grows snowflake-like shapes and exhibits most of the relevant qualitative features. We find that repeated sidebranching requires a critical amount of crystalline anisotropy, that the growth rate of dendrites is determined by a global solvability conditions, and that the sidebranch behavior is related to a discrete oscillatory mode about the selected velocity solution.

Original languageEnglish
Pages (from-to)507-520
Number of pages14
JournalPCH. Physicochemical hydrodynamics
Issue number5-6
StatePublished - 1984
Externally publishedYes
EventPhysicochem Hydrodyn, 5th Int Conf - Tel Aviv, Isr
Duration: 16 Dec 198421 Dec 1984


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