The Stability Balloon for Two-dimensional Vortex Ripple Patterns
Soft Condensed Matter
2009-11-07 v1 Disordered Systems and Neural Networks
Statistical Mechanics
Pattern Formation and Solitons
Abstract
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.
Cite
@article{arxiv.cond-mat/0106465,
title = {The Stability Balloon for Two-dimensional Vortex Ripple Patterns},
author = {J. L. Hansen and M. van Hecke and C. Ellegaard and K. H. Andersen and T. Bohr and A. Haaning and T. Sams},
journal= {arXiv preprint arXiv:cond-mat/0106465},
year = {2009}
}
Comments
4 pages, 5 figures