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Symmetry breaking and coarsening of clusters in a prototypical driven granular gas

2002/04/12 by Eli Livne, Baruch Meerson, Pavel V. Sasorov +1 · 1 citation
Engineering · Materials Science · Physics and Astronomy · #Fluid Dynamics and Heat Transfer #Granular flow and fluidized beds #Material Dynamics and Properties #cond-mat.soft #nlin.PS #physics.flu-dyn

paper · pdf · doi:10.1103/physreve.66.050301

5 pages, 4 eps figures

arxiv created 2002/04/12 · openalex publication_date 2002/11/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Granular hydrodynamics predicts symmetry-breaking instability in a two-dimensional ensemble of nearly elastically colliding smooth hard disks driven, at zero gravity, by a rapidly vibrating sidewall. Supercritical and subcritical symmetry-breaking bifurcations of the stripe state are identified, and the supercritical bifurcation curve is computed. The cluster dynamics proceed as a coarsening process mediated by the gas phase. Well above the bifurcation point the final steady state, selected by coarsening, represents a single strongly localized densely packed "droplet."

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