We have performed Molecular Dynamics (event-driven) simulations in one
dimension [183] and Direct Simulation Monte Carlo (Bird
algorithm) in one and two dimensions [184]. We have checked
the compatibility of the results between MD and DSMC in a wide range
of parameters (restitution coefficient, number density, collision and
driving times). We have computed the density and velocity
distributions, the correlation dimension (fractal dimension 
),
the density entropy, the auto-correlation of velocity and the
coefficients of self-diffusion.