Rheological effects in the linear response and spontaneous fluctuations of a sheared granular gas
arXiv:1212.3937 · doi:10.1103/PhysRevE.86.061308
Abstract
The decay of a small homogeneous perturbation of 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 quasi-elastic limit. A good agreement is found when comparing the theory with molecular dynamics simulation results. Moreover, the Onsager postulate on the regression of fluctuations is fulfilled.
References in corpus (13)
- Fluctuation-Dissipation relations in Driven Granular Gases
- First normal stress difference and crystallization in a dense sheared granular fluid
- Chapman-Enskog expansion about nonequilibrium states: the sheared granular fluid
- Tracer diffusion in granular shear flows
- Transport coefficients for an inelastic gas around uniform shear flow: Linear stability analysis
- Violation of the Einstein relation in Granular Fluids: the role of correlations
- Fluctuating hydrodynamics for driven granular gases
- Uniform shear flow in dissipative gases. Computer simulations of inelastic hard spheres and (frictional) elastic hard spheres
- System of elastic hard spheres which mimics the transport properties of a granular gas
- Aging to non-Newtonian hydrodynamics in a granular gas
- Fluctuating Navier-Stokes equations for inelastic hard spheres or disks
- Unsteady non-Newtonian hydrodynamics in granular gases
- Internal energy fluctuations of a granular gas under steady uniform shear flow