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We derive the generalized Green-Kubo relation and an integral form of thefluctuation theorem that apply to uniformly sheared granular systems in whichmicroscopic time-reversal symmetry is broken. The former relation provides anexact representation of nonequilibrium steady-state properties as the integralof the time-correlation function describing transient dynamics from an initialquiescent towards a final sheared steady state. We also investigateimplications of the integral fluctuation theorem on the approach towards thesteady state and on the possible form of the steady-state distribution functionin terms of the excess thermodynamic function.

Fluctuation relations without microscopic time reversality: Generalized  Green-Kubo relation and integral fluctuation theorem for uniformly sheared  granular systems