Spontaneous formation of density waves in granular matter under swirling excitation

Abstract

We study here the spontaneous clustering of a submonolayer of grains under horizontal circular shaking. The clustering of grains occurs when increasing the oscillation amplitude beyond a threshold. The dense area travels in a circular fashion at the driving frequency, even exceeds the speed of driving. It turns out that the observed clustering is due to the formation of density wave. The analysis of a phenomenological model shows that the instability of the uniform density profile arises by increasing the oscillation amplitude and captures the non-monotonic dependence of the transition amplitude of the clustering on the global density of the system. Here, the key ingredient is that the velocity of individual grains increases with the local density. The interplay of dissipative particle-particle interaction and the frictional driving of the substrate results into this dependence, which is tested with discrete element method simulations.

arXiv comment10 pages, 5 figures

References in corpus (7)

• Patterns and Collective Behavior in Granular Media: Theoretical Concepts
• Freezing by Heating in a Driven Mesoscopic System
• Clustering, Order, and Collapse in a Driven Granular Monolayer
• Experimental investigation of the freely cooling granular gas
• Two-dimensional Granular Gas of Inelastic Spheres with Multiplicative Driving
• Dynamics of spherical particles on a surface: About collision induced sliding and other effects
• Swirling Granular Matter: From Rotation to Reptation

Cited by in corpus (4)

• Collective drifts in vibrated granular packings: the interplay of friction and structure
• Collective motion of granular matter subjected to swirling excitation
• Emergence of a hexagonal pattern in shear-thickening suspensions under orbital oscillations
• Surface band segregation and internal convection in rotating sphere densely filled with granular material: Experiments