Fluctuation dissipation relations in stationary states of interacting Brownian particles under shear

The fluctuation dissipation theorem is studied close to the glass transition in colloidal suspensions under steady shear. Shear breaks detailed balance in the many-particle Smoluchowski equation and gives response functions in the stationary state which are smaller at long times than estimated from the equilibrium fluctuation dissipation theorem. During the final shear-driven decay, an asymptotically constant relation connects response and fluctuations, restoring the form of the fluctuation dissipation theorem with, however, a ratio different from the equilibrium one.