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We find in complementary experiments and event driven simulations of shearedinelastic hard spheres that the velocity autocorrelation function $\psi(t)$decays much faster than $t^{-3/2}$ obtained for a fluid of elastic spheres atequilibrium. Particle displacements are measured in experiments inside agravity driven flow sheared by a rough wall. The average packing fractionobtained in the experiments is 0.59, and the packing fraction in thesimulations is varied between 0.5 and 0.59. The motion is observed to bediffusive over long times except in experiments where there is layering ofparticles parallel to boundaries, and diffusion is inhibited between layers.Regardless, a rapid decay of $\psi(t)$ is observed, indicating that this is afeature of the sheared dissipative fluid, and is independent of the details ofthe relative particle arrangements. An important implication of our study isthat the non-analytic contribution to the shear stress may not be present in asheared inelastic fluid, leading to a wider range of applicability of kinetictheory approaches to dense granular matter.

Fast decay of the velocity autocorrelation function in dense shear flow of inelastic hard spheres