Symmetry-breaking instability and strongly peaked periodic clustering states in a driven granular gas

Eli Livne, Baruch Meerson, Pavel V. Sasorov

Research output: Contribution to journalArticlepeer-review

47 Scopus citations

Abstract

An ensemble of inelastically colliding grains driven by a horizontally vibrating wall in two dimensions exhibits 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 laterally uniform clustering state. Two-dimensional steady-state solutions found numerically describe laterally periodic clustering states. Well within the instability region the density of these states is strongly peaked, with most of the granulate located in “density islands.” Time-dependent granular hydrodynamic simulations show that strongly peaked states can develop from small-amplitude single-mode density perturbations.

Original languageAmerican English
JournalPhysical Review E
Volume65
Issue number2
DOIs
StatePublished - 2002

Fingerprint

Dive into the research topics of 'Symmetry-breaking instability and strongly peaked periodic clustering states in a driven granular gas'. Together they form a unique fingerprint.

Cite this