Imperfect wave-number selection by ramps in a model for Taylor vortex flow

Hermann Riecke*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


In pattern-forming systems the wave-number bands accessible to the system are drastically reduced if the control parameters are varied slowly in space from supercritical to subcritical. Using a recently derived matching condition, these wave-number bands are calculated in a simple model for Taylor vortex flow. They show qualitatively the same behavior as observed in the experiments on this system: (1) starting from a minimal bandwidth, the band grows both for decreasing as well as increasing control parameter; and (2) the dependence of the selected wave number on the system length shows a phase shift of half a wavelength during the crossover from small- to large- behavior. These results are in quantitative agreement with a numerical simulation of the model.

Original languageEnglish (US)
Pages (from-to)636-638
Number of pages3
JournalPhysical Review A
Issue number2
StatePublished - 1988

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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