Noise induces rare events in granular media
arXiv:1609.02102 · doi:10.1103/PhysRevE.94.032905
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 (34)
- Patterns and Collective Behavior in Granular Media: Theoretical Concepts
- Simulating rare events in equilibrium or non-equilibrium stochastic systems
- Clustering, Order, and Collapse in a Driven Granular Monolayer
- Velocity statistics in excited granular media
- Forward Flux Sampling-type schemes for simulating rare events: Efficiency analysis
- Rare Events Statistics in Reaction--Diffusion Systems
- Phase Diagram of Vertically Shaken Granular Matter
- Towards granular hydrodynamics in two-dimensions
- Two-dimensional melting far from equilibrium in a granular monolayer
- 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
- Thermal convection in fluidized granular systems
- Close-packed floating clusters: granular hydrodynamics beyond the freezing point?
- Propagating front in an excited granular layer
- Homogeneous nucleation under shear in a two-dimensional Ising model: cluster growth, coalescence and breakup
- Onset of thermal convection in a horizontal layer of granular gas
- Dynamics of Vibrated Granular Monolayers
- Bifurcation Diagram for Compartmentalized Granular Gases
- Spectral theory of metastability and extinction in a branching-annihilation reaction
- Transversal inhomogeneities in dilute vibrofluidized granular fluids
- Two-strain competition in quasi-neutral stochastic disease dynamics
- Symmetry breaking and coarsening of clusters in a prototypical driven granular gas
- Thermal convection in mono-disperse and bi-disperse granular gases: A simulation study
- Symmetry-breaking instability in a prototypical driven granular gas
- Phase diagram of van der Waals-like phase separation in a driven granular gas
- Hydrodynamics of fluid-solid coexistence in dense shear granular flow
- Low-frequency oscillations in narrow vibrated granular systems
- From the granular Leidenfrost state to buoyancy-driven convection
- Giant fluctuations at a granular phase separation threshold
- Dynamics of a first order transition to an absorbing state
- Computation of nucleation of a non-equilibrium first-order phase transition using a rare-event algorithm
- Bifurcations of a driven granular system under gravity
- A classical statistical model for distributions of escape events in swept-bias Josephson junctions