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The decay of a small homogeneous perturbation in the temperature of a dilute granular gas in the steady
uniform shear flow state is investigated. Using kinetic theory based on the inelastic Boltzmann equation, a closed
equation for the decay of the perturbation is derived. The equation involves the generalized shear viscosity of
the gas in the time-dependent shear flow state, and therefore, it predicts relevant rheological effects beyond the
quasielastic limit. Good agreement is found when comparing the theory with molecular dynamics simulation
results. Moreover, the Onsager postulate on the regression of fluctuations is fulfilledEspaña Ministerio de Educación y Ciencia Grant No. FIS2011-2446
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