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We analyse the statistics of the shear stress in a one dimensional\emph{model fluid}, that exhibits a rich phase behaviour akin to real complexfluids under shear. We show that the energy flux satisfies the Gallavotti-CohenFT across all phases in the system. The theorem allows us to define aneffective temperature which deviates considerably from the equilibriumtemperature as the noise in the system increases. This deviation is negligiblewhen the system size is small. The dependence of the effective temperature onthe strain rate is phase-dependent. It doesn't vary much at the phaseboundaries. The effective temperature can also be determined from the largedeviation function of the energy flux. The local strain rate statistics obeysthe large deviation principle and satisfies a fluctuation relation. It does notexhibit a distinct kink near zero strain rate because of inertia of the rotorsin our system.

Large deviation statistics of non-equilibrium fluctuations in a sheared model-fluid