Linear hydrodynamics for driven granular gases

Abstract

We study the dynamics of a granular gas heated by the stochastic thermostat. From a Boltzmann description, we derive the hydrodynamic equations for small perturbations around the stationary state that is reached in the long time limit. Transport coefficients are identified as Green-Kubo formulas obtaining explicit expressions as a function of the inelasticity and the spacial dimension.

References in corpus (10)

• Transport properties of dense dissipitive hard-sphere fluids for arbitrary energy loss models
• Structure factors in granular experiments with homogeneous fluidization
• Universal reference state in a driven homogeneous granular gas
• The rich behavior of the Boltzmann equation for dissipative gases
• Injected power and entropy flow in a heated granular gas
• Aging to non-Newtonian hydrodynamics in a granular gas
• Energy fluctuations in a randomly driven granular fluid
• Kinetic Theory of Response Functions for the Hard Sphere Granular Fluid
• Unsteady non-Newtonian hydrodynamics in granular gases
• Rheological effects in the linear response and spontaneous fluctuations of a sheared granular gas

Cited by in corpus (25)

• Kovacs-like memory effect in driven granular gases
• Transport properties for driven granular fluids in situations close to homogeneous steady states
• Transport coefficients of a granular gas of inelastic rough hard spheres
• Enskog kinetic theory for multicomponent granular suspensions
• Memory effect in uniformly heated granular gases
• Transport coefficients for driven granular mixtures at low-density
• Hydrodynamics for a model of a confined quasi-two-dimensional granular gas
• Enskog kinetic theory for a model of a confined quasi-two-dimensional granular fluid
• Stability analysis of the homogeneous hydrodynamics of a model for a confined granular gas
• Homogeneous states in driven granular mixtures: Enskog kinetic theory versus molecular dynamics simulations
• Understanding the instability of a vibrated granular monolayer
• Lattice models for granular-like velocity fields: Hydrodynamic limit
• Memory effects in the relaxation of a confined granular gas
• Homogeneous hydrodynamics of a collisional model of confined granular gases
• Transport coefficients for granular suspensions at moderate densities
• Homogeneous dynamics in a vibrated granular monolayer
• Statistics of the dissipated energy in driven diffusive systems
• The BBGKY Hierarchy and Fokker-Planck Equation for Many-Body Dissipative Randomly Driven Systems
• Rheological regimes in agitated granular media under shear
• Hydrodynamics of granular gases of inelastic and rough hard disks or spheres. I. Transport coefficients
• Inhomogeneous cooling state of a strongly confined granular gas at low density
• Navier-Stokes transport coefficients for driven inelastic Maxwell models
• Shear-rate dependent transport coefficients in granular suspensions
• Enskog kinetic theory of binary granular suspensions: heat flux and stability analysis of the homogeneous steady state
• Translational and rotational non-Gaussianities in homogeneous freely evolving granular gases