Diffusion and Velocity Auto-Correlation in Shearing Granular Media

Abstract

We perform numerical simulations to examine particle diffusion at steady shear in a model granular material in two dimensions at the jamming density and zero temperature. We confirm findings by others that the diffusion constant depends on shear rate as $D\sim {\dot{\gamma }}^{q_D}$ with $q_D<1$, and set out to determine a relation between $q_D$ and other exponents that characterize the jamming transition. We then examine the the velocity auto-correlation function, note that it is governed by two processes with different time scales, and identify a new fundamental exponent, $\lambda$, that characterizes an algebraic decay of correlations with time.

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Cited by in corpus (14)

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• Phase Diagram for Inertial Granular Flows
• Out-of-equilibrium dynamical mean-field equations for the perceptron model
• Vortices enhance diffusion in dense granular flows
• Length scales and self-organization in dense suspension flows
• Universal relaxation dynamics of sphere packings below jamming
• Softening of Granular Packings with Dynamic Forcing
• Collective Dynamics of Deformable Self-Propelled Particles with Repulsive Interaction
• Effect of particle collisions in dense suspension flows
• Fluctuations and diffusion in sheared athermal suspensions of deformable particles
• Origin of two distinct stress relaxation regimes in shear jammed dense suspensions
• Critical scaling of diffusion coefficients and size of rigid clusters of soft athermal particles under shear
• Unifying Suspension and Granular flows near Jamming
• Relaxation dynamics and long-time tails explain shear-induced diffusion of soft athermal particles near jamming