A classical long-time tail in a driven granular fluid

Abstract

I derive a mode-coupling theory for the velocity autocorrelation function, ψ(t), in a fluid of randomly driven inelastic hard spheres far from equilibrium. With this, I confirm a conjecture from simulations that the velocity autocorrelation function decays algebraically, ψ(t) ~ t^{-3/2}, if momentum is conserved. I show that the slow decay is due to the coupling to transverse currents.

10 pages

References in corpus (8)

• Crossover in the Slow Decay of Dynamic Correlations in the Lorentz Model
• Non-Standard Neutrino Interactions from a Triplet Seesaw Model
• The Glass Transition in Driven Granular Fluids: A Mode-Coupling Approach
• Hydrodynamic Correlation Functions of a Driven Granular Fluid in Steady State
• Fast decay of the velocity autocorrelation function in dense shear flow of inelastic hard spheres
• Single-Particle Dynamics in Dense Granular Fluids under Driving
• Long-time tails in freely cooling granular gases
• Anomalous velocity distributions in active Brownian suspensions

Cited by in corpus (2)

• Integration through transients for inelastic hard sphere fluids
• Relaxation dynamics and long-time tails explain shear-induced diffusion of soft athermal particles near jamming