1 Transport coefficients of a heated granular gas

The Navier-Stokes transport coefficients of a driven fluidized granular gas are obtained from the Chapman-Enskog solution to the Boltzmann equation. The gas is heated by the action of an external driving force which does work to compensate for the collisional loss of energy. Two types of external driving are considered: (a) a deterministic force proportional to the particle velocity (Gaussian thermostat), and (b) a stochastic force. As happens in the elastic case, the transport coefficients are determined from linear integral equations which can be approximately solved by means of a Sonine polynomial expansion. In the leading order, we get those coefficients as explicit functions of the restitution coefficient α. The results are compared with those obtained in the undriven case, indicating that the driving external forces do not play a neutral role in the transport. Finally, in the case of the Gaussian and the stochastic Electronic address: [email protected] Electronic address: [email protected]