  An overview of recent work on Monte Carlo simulations of a granular binary
mixture is presented. The results are obtained numerically solving the Enskog
equation for inelastic hard-spheres by means of an extension of the well-known
direct Monte Carlo simulation (DSMC) method. The homogeneous cooling state and
the stationary state reached using the Gaussian thermostat are considered. The
temperature ratio, the fourth velocity moments and the velocity distribution
functions are obtained for both cases. The shear viscosity characterizing the
momentum transport in the thermostatted case is calculated as well. The
simulation results are compared with analytical predictions showing an
excellent agreement.
