Granular gases under extreme driving
arXiv:1002.0995 · doi:10.1209/0295-5075/91/34002
Abstract
We study inelastic gases in two dimensions using event-driven molecular dynamics simulations. Our focus is the nature of the stationary state attained by rare injection of large amounts of energy to balance the dissipation due to collisions. We find that under such extreme driving, with the injection rate much smaller than the collision rate, the velocity distribution has a power-law high energy tail. The numerically measured exponent characterizing this tail is in excellent agreement with predictions of kinetic theory over a wide range of system parameters. We conclude that driving by rare but powerful energy injection leads to a well-mixed gas and constitutes an alternative mechanism for agitating granular matter. In this distinct nonequilibrium steady-state, energy cascades from large to small scales. Our simulations also show that when the injection rate is comparable with the collision rate, the velocity distribution has a stretched exponential tail.
6 pages, 7 figures; new version contains 2 new figures and text describing cascades
References in corpus (18)
- Clustering, Order, and Collapse in a Driven Granular Monolayer
- Breakdown of Energy Equipartition in a 2D Binary Vibrated Granular Gas
- The Granular Phase Diagram
- Velocity statistics in excited granular media
- Velocity Distributions & Density Fluctuations in a 2D Granular Gas
- Towards granular hydrodynamics in two-dimensions
- Velocity correlations in dense granular gases
- Forcing and Velocity Correlations in a Vibrated Granular Monolayer
- Simulations of Pattern Formation in Vibrated Granular Media
- Velocity distributions in dissipative granular gases
- Two-dimensional Granular Gas of Inelastic Spheres with Multiplicative Driving
- Velocity Distributions of Granular Gases with Drag and with Long-Range Interactions
- Velocity Fluctuations in Electrostatically Driven Granular Media
- Velocity distribution of fluidized granular gases in presence of gravity
- Stationary states and energy cascades in inelastic gases
- The rich behavior of the Boltzmann equation for dissipative gases
- Power-law velocity distributions in granular gases
- Singular Energy Distributions in Granular Media
Cited by in corpus (5)
- Asymptotic behavior of the velocity distribution of driven inelastic gas with scalar velocities: analytical results
- Nonequilibrium steady solutions of the Boltzmann equation
- Velocity distribution of driven granular gases
- Asymptotic velocity distribution of a driven one dimensional binary granular Maxwell gas
- A Collisional-Energy-Cascade Model for Nonthermal Velocity Distributions of Neutral Atoms in Plasmas