Linear hydrodynamics for driven granular gases

TL;DR

This paper derives hydrodynamic equations and explicit transport coefficients for a driven granular gas using a Boltzmann approach, focusing on small perturbations around the stationary state.

Contribution

It provides a theoretical derivation of hydrodynamic equations and Green-Kubo formulas for transport coefficients in driven granular gases, accounting for inelasticity and spatial dimension.

Findings

Explicit expressions for transport coefficients as functions of inelasticity and dimension

Hydrodynamic equations derived for small perturbations around stationary state

Green-Kubo formulas established for transport coefficients

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.