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``Oscillons, spiral waves, and stripes in a model of vibrated sand,''
Physical Review Letters 80, 4349-4352, May 11, 1998. Physical Review E 57, R1239-R1242, February, 1998.
Abstract:
A semi-continuum model of a thin layer of vibrated sand is proposed that qualitatively reproduces experimental observations of localized subharmonic excitations (``oscillons'') in addition to globally striped patterns. Numerical simulations recover a phase diagram similar to experimental observations and physical mechanisms for the transitions across phase boundaries are proposed. A scaling law is given for the size of the stripes and oscillons. Simulations in a different region of phase space reveal spiral waves.
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