Integration through transients for inelastic hard sphere fluids

The Integration Through Transients (ITT) formalism provides a kinetic theory to go beyond the linear response regime of low density and shear rate. Its main advantage is to express observables under shear as expectation values in the quiescent system. Here we show that the quiescent fluid does not have to be in thermal equilibrium. Considering a fluidized granular medium under shear, we introduce a granular ITT formalism (gITT) providing quantitative predictions for the flow curves that reflect the rich phenomenology of granular fluids.