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We report the complete statistical treatment of a system of particlesinteracting via Newtonian forces in continuous boundary-driven flow, far fromequilibrium. By numerically time-stepping the force-balance equations of amodel fluid we measure occupancies and transition rates in simulation. Thehigh-shear-rate simulation data verify the invariant quantities predicted byour statistical theory, thus demonstrating that a class of non-equilibriumsteady states of matter, namely sheared complex fluids, is amenable tostatistical treatment from first principles.

Statistical mechanics far from equilibrium: prediction and test for a sheared system