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18 April 2024
 
  » arxiv » cond-mat/0106465

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The Stability Balloon for Two-dimensional Vortex Ripple Patterns
J. L. Hansen ; M. van Hecke ; C. Ellegaard ; K. H. Andersen ; T. Bohr ; A. Haaning ; T. Sams ;
Date 22 Jun 2001
Subject Soft Condensed Matter; Disordered Systems and Neural Networks; Statistical Mechanics; Pattern Formation and Solitons | cond-mat.soft cond-mat.dis-nn cond-mat.stat-mech nlin.PS
AbstractPatterns 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.
Source arXiv, cond-mat/0106465
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