Fluctuating Navier-Stokes equations for inelastic hard spheres or disks
arXiv:1101.2415 · doi:10.1103/PhysRevE.83.041303
Abstract
Starting from the fluctuating Boltzmann equation for smooth inelastic hard spheres or disks, closed equations for the fluctuating hydrodynamic fields to Navier-Stokes order are derived. This requires to derive constitutive relations for both the fluctuating fluxes and the correlations of the random forces. The former are identified as having the same form as the macroscopic average fluxes and involving the same transport coefficients. On the other hand, the random force terms exhibit two peculiarities as compared with their elastic limit for molecular systems. Firstly, they are not white, but have some finite relaxation time. Secondly, their amplitude is not determined by the macroscopic transport coefficients, but involves new coefficients.
References in corpus (6)
- Modified Sonine approximation for the Navier-Stokes transport coefficients of a granular gas
- Violation of the Einstein relation in Granular Fluids: the role of correlations
- Fluctuating hydrodynamics for driven granular gases
- Breakdown of hydrodynamics in the inelastic Maxwell model of granular gases
- Long-time tails in freely cooling granular gases
- Fluctuating hydrodynamics for dilute granular gases: a Monte Carlo study
Cited by in corpus (8)
- Fluctuating hydrodynamics and correlation lengths in a driven granular fluid
- Nonlinear driven diffusive systems with dissipation: fluctuating hydrodynamics
- Linear hydrodynamics for driven granular gases
- Uniform self-diffusion in a granular gas
- Rheological effects in the linear response and spontaneous fluctuations of a sheared granular gas
- Power-law decay of the velocity autocorrelation function of a granular fluid in the homogeneous cooling state
- Internal energy fluctuations of a granular gas under steady uniform shear flow
- Fluctuations in the Uniform Shear Flow state of a granular gas