Noise induces rare events in granular media

Abstract

The granular Leidenfrost effect (B. Meerson et al, Phys. Rev. Lett. {\bf 91}, 024301 (2003), P. Eshuis et al, Phys. Rev. Lett. {\bf 95}, 258001 (2005)) is the levitation of a mass of granular matter when a wall below the grains is vibrated giving rise to a hot granular gas below the cluster. We find by simulation that for a range of parameters the system is bistable: the levitated cluster can occasionally break and give rise to two clusters and a hot granular gas above and below. We use techniques from the theory of rare events to compute the mean transition time for breaking to occur. This requires the introduction of a two-component reaction coordinate.

References in corpus (9)

• Forward Flux Sampling-type schemes for simulating rare events: Efficiency analysis
• Phase Diagram of Vertically Shaken Granular Matter
• Extinction Rates for Fluctuation-Induced Metastabilities : A Real-Space WKB Approach
• Computing stationary distributions in equilibrium and non-equilibrium systems with Forward Flux Sampling
• Maximum size of drops levitated by an air cushion
• Homogeneous nucleation under shear in a two-dimensional Ising model: cluster growth, coalescence and breakup
• Hydrodynamics of fluid-solid coexistence in dense shear granular flow
• From the granular Leidenfrost state to buoyancy-driven convection
• A classical statistical model for distributions of escape events in swept-bias Josephson junctions