Highly localized clustering states in a granular gas driven by a vibrating wall

Eli Livne; Baruch Meerson; Pavel V. Sasorov

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Highly localized clustering states in a granular gas driven by a vibrating wall

Eli Livne·Baruch Meerson·Pavel V. Sasorov

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Abstract

An ensemble of inelastically colliding grains driven by a vibrating wall in 2D exhibits density clustering. Working in the limit of nearly elastic collisions and employing granular hydrodynamics, we predict, by a marginal stability analysis, a spontaneous symmetry breaking of the extended clustering state (ECS). 2D steady-state solutions found numerically describe localized clustering state (LCSs). Time-dependent granular hydrodynamic simulations show that LCSs can develop from natural initial conditions. The predicted instability should be observable in experiment.

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Eli Livne, Baruch Meerson, Pavel V. Sasorov. 2001-01-11. Highly localized clustering states in a granular gas driven by a vibrating wall. https://arxiv.org/abs/cond-mat/0008301

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