Pattern Dynamics of Vortex Ripples in Sand: Nonlinear Modeling and Experimental Validation

Details Pattern Dynamics of Vortex Ripples in Sand: Nonlinear Modeling and Experimental Validation Pattern Dynamics of Vortex Ripples in Sand: Nonlinear Modeling and Experimental Validation

2002-01-29

arxiv.org/abs/cond-mat/0201529v1

Physics

Condensed Matter

Statistical Mechanics

4 pages

Scientific paper

10.1103/PhysRevLett.88.234302

Vortex ripples in sand are studied experimentally in a one-dimensional setup with periodic boundary conditions. The nonlinear evolution, far from the onset of instability, is analyzed in the framework of a simple model developed for homogeneous patterns. The interaction function describing the mass transport between neighboring ripples is extracted from experimental runs using a recently proposed method for data analysis, and the predictions of the model are compared to the experiment. An analytic explanation of the wavelength selection mechanism in the model is provided, and the width of the stable band of ripples is measured.

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