Stripe formation in differentially forced binary systems

CM Pooley*, JM Yeomans

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We consider pattern formation in periodically forced binary systems. In particular, we focus on systems in which the two species are differentially forced, one being accelerated with respect to the other. Using a continuum model consisting of two isothermal ideal gases which interact via a frictional force we demonstrate analytically that stripes form spontaneously above a critical forcing amplitude. The wavelength of the stripes is found to be close to the wavelength of sound in the limit of small viscosity. The results are confirmed numerically. We suggest that the same mechanism may contribute to the formation of stripes in experiments on horizontally oscillated granular mixtures.

Original languageEnglish
Article number118001
Number of pages4
JournalPhysical Review Letters
Volume93
Issue number11
DOIs
Publication statusPublished - 10 Sep 2004

Keywords

  • PARTICLES

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