Theory of the Saffman-Taylor finger pattern. II

David A. Kessler, Herbert Levine

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


We generalize the stability results of the preceding paper to arbitrary . Coupled with a new approach to the selection of finger width, this stability computation allows us to predict the dependence of allowed widths on capillary number. At the same time, we show that of all possible finger shapes at fixed capillary number, only one [denoted *()] is stable. Finally, we show how finite noise can shift *(), causing observed widths and stability to diverge from the noiseless calculation at large velocity. We conclude with a discussion of the paradigm of microscopic solvability for diffusive controlled pattern formation, into which the above analysis neatly falls.

Original languageEnglish
Pages (from-to)2634-2639
Number of pages6
JournalPhysical Review A
Issue number4
StatePublished - 1986
Externally publishedYes


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