Linear Response for Granular Fluids
James Dufty, Aparna Baskaran, J. Javier Brey
TL;DR
This paper develops a theoretical framework for understanding how homogeneous granular fluids respond to small disturbances, deriving exact expressions for their transport properties and contrasting these with normal fluids.
Contribution
It provides the first formal derivation of linear hydrodynamic equations and transport coefficients for granular fluids using non-equilibrium statistical mechanics.
Findings
Derived exact susceptibilities and transport coefficients for granular fluids.
Established formal similarities and differences with normal fluid responses.
Presented Green-Kubo and Einstein-Helfand formulas for granular fluid transport.
Abstract
The linear response of an isolated, homogeneous granular fluid to small spatial perturbations is studied by methods of non-equilibrium statistical mechanics. The long wavelength linear hydrodynamic equations are obtained, with formally exact expressions for the susceptibilities and transport coefficients. The latter are given in equivalent Einstein-Helfand and Green-Kubo forms. The context of these results and their contrast with corresponding results for normal fluids are discussed.
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