Abstract

I derive a mode-coupling theory for the tagged particle 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.

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