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Phys. Rev. Lett. 80, 57–60 (1998)

Patterns in 3D Vertically Oscillated Granular Layers: Simulation and Experiment

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C. Bizon*, M. D. Shattuck, J. B. Swift, W. D. McCormick, and Harry L. Swinney
Center for Nonlinear Dynamics and Department of Physics, University of Texas, Austin, Texas 78712

Received 13 June 1997; revised 15 September 1997; published in the issue dated 5 January 1998

Numerical simulations and laboratory experiments are conducted for thin layers of particles in a vertically oscillated container as a function of the frequency f, amplitude A, and depth H. The same standing wave patterns (stripes, squares, or hexagons oscillating at f/2 or f/4) and wavelengths are obtained in the simulations and experiments for a wide range of (f,A) and two layer depths. Two model parameters are determined by fits at just two points (f,A,H). Simulation results lead to heuristic arguments for the onset of patterns and the crossover from squares to stripes.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.80.57
DOI:
10.1103/PhysRevLett.80.57
PACS:
46.10.+z, 47.54.+r, 83.10.Pp, 83.70.Fn

*Electronic address: bizon@chaos.ph.utexas.edu

Electronic address: swinney@chaos.ph.utexas.edu