Direct simulation of the uniformly heated granular Boltzmann equation

In the present paper we give an overview of the analytical properties of the steady state solution of the spatially homogeneous uniformly heated granular Boltzmann equation. The asymptotic properties of this distribution (so called tails) are formulated for different models of interaction. A new stochastic numerical algorithm for this problem is presented and tested using analytical relaxation of the temperature. The "tails" of the steady state distribution are computed using this algorithm and the results are compared with the available analytical information