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Abstract: The response functions for small spatial perturbations of a homogeneousgranular fluid have been described recently. In appropriate dimensionlessvariables, they have the form of stationary state time correlation functions.Here, these functions are 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 approximation forits implementation are discussed. If, in addition, static velocity correlationsare neglected, a granular fluid version of the linearized Enskog kinetic theoryis obtained. The derivation makes no a priori limitation on the density, spaceand time scale, nor degree of inelasticity. As an illustration, recentlyderived Helfand and Green-Kubo expressions for the Navier-Stokes ordertransport coefficients are evaluated with this kinetic theory. The results arein agreement with those obtained from the Chapman-Enskog solution to thenonlinear Enskog kinetic equation.



Autor: Aparna Baskaran, James W. Dufty, J. Javier Brey

Fuente: https://arxiv.org/







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