Square to stripe transition and superlattice patterns in vertically oscillated granular layers

Details Square to stripe transition and superlattice patterns in vertically oscillated granular layers Square to stripe transition and superlattice patterns in vertically oscillated granular layers

2001-01-02

arxiv.org/abs/nlin/0101005v4

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1103/PhysRevE.65.051310

We investigated the physical mechanism for the pattern transition from square lattice to stripes, which appears in vertically oscillating granular layers. We present a continuum model to show that the transition depends on the competition between inertial force and local saturation of transport. By introducing multiple free-flight times, this model further enables us to analyze the formation of superlattices as well as hexagonal lattices

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