The Stability Balloon for Two-dimensional Vortex Ripple Patterns

Details The Stability Balloon for Two-dimensional Vortex Ripple Patterns The Stability Balloon for Two-dimensional Vortex Ripple Patterns

2001-06-22

arxiv.org/abs/cond-mat/0106465v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.87.204301

Patterns of vortex ripples form when a sand bed is subjected to an oscillatory fluid flow. Here we describe experiments on the response of regular vortex ripple patterns to sudden changes of the driving amplitude a or frequency f. A sufficient decrease of f leads to a "freezing" of the pattern, while a sufficient increase of f leads to a supercritical secondary "pearling" instability. Sufficient changes in the amplitude a lead to subcritical secondary "doubling" and "bulging" instabilities. Our findings are summarized in a "stability balloon" for vortex ripple pattern formation.

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