Abstract
The response functions for small spatial perturbations of a homogeneous granular fluidhave been described recently. They are represented here as stationary state time correlationfunctions. These functions are then expressed in terms of reduced single particlefunctions that are expected to obey a linear kinetic equation. The functionalassumption required for such a kinetic equation, and a Markov approximationfor its implementation are discussed. If, in addition, static velocity correlationsare neglected, a granular fluid version of the linearized Enskog kinetic theory isobtained. The derivation imposes no a priori limitation on the density, space andtimescale, or degree of inelasticity. As an illustration, recently derived Helfand andGreen–Kubo expressions for the Navier–Stokes order transport coefficients areevaluated with this kinetic theory. The results are in agreement with those obtainedfrom the Chapman–Enskog solution to the non-linear Enskog kinetic equation.
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