Velocity Distributions of Granular Gases with Drag and with Long-Range Interactions

Abstract

We study velocity statistics of electrostatically driven granular gases. For two different experiments: (i) non-magnetic particles in a viscous fluid and (ii) magnetic particles in air, the velocity distribution is non-Maxwellian, and its high-energy tail is exponential, P(v) ~ exp(-|v|). This behavior is consistent with kinetic theory of driven dissipative particles. For particles immersed in a fluid, viscous damping is responsible for the exponential tail, while for magnetic particles, long-range interactions cause the exponential tail. We conclude that velocity statistics of dissipative gases are sensitive to the fluid environment and to the form of the particle interaction.

arXiv comment4 pages, 3 figures

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Cited by in corpus (29)

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• The rich behavior of the Boltzmann equation for dissipative gases
• The Glass Transition in Driven Granular Fluids: A Mode-Coupling Approach
• Hydrodynamic Burnett equations for inelastic Maxwell models of granular gases
• Third and fourth degree collisional moments for inelastic Maxwell models
• Simulating the Diverse Instabilities of Dust in Magnetized Gas
• Simple shear flow in inelastic Maxwell models
• Partitioning of energy in highly polydisperse granular gases
• Shear-rate dependent transport coefficients for inelastic Maxwell models
• Transition from a dissipative to a quasi-elastic system of particles with tunable repulsive interactions
• High-Energy Tail of the Velocity Distribution of Driven Inelastic Maxwell Gases
• Non-equilibrium phase transition in a sheared granular mixture
• Velocity Distribution of Driven Inelastic One-component Maxwell gas
• Anomalous distribution functions in sheared suspensions
• Impurity in a sheared inelastic Maxwell gas
• Kinetics of Ring Formation
• Granular gases under extreme driving
• Diffusivity and Weak Clustering in a Quasi 2D Granular Gas
• Boltzmann equation for dissipative gases in homogeneous states with nonlinear friction
• Asymptotic behavior of the velocity distribution of driven inelastic gas with scalar velocities: analytical results
• Velocity distribution of driven granular gases
• Moment theories for a d-dimensional dilute granular gas of Maxwell molecules
• Hydrodynamic granular segregation induced by boundary heating and shear
• Anomalous transport of impurities in inelastic Maxwell gases
• Anomalous velocity distributions in active Brownian suspensions
• Navier-Stokes transport coefficients for driven inelastic Maxwell models
• Exact transport coefficients from the inelastic rough Maxwell model of a granular gas
• Singular Energy Distributions in Granular Media
• Tracer diffusion coefficients in a sheared inelastic Maxwell gas