The multiple dependence of the velocity distributions of granular gases on the simulation conditions

In this work we study the dissipative dynamics of a system of smooth hard spheres with a constant restitution coefficient and small number of particles in the homogeneous cooling regime. We focus on the velocity distribution from simulations in the molecular dynamics approach. The main goal of this paper is to study the multiple dependence of these stationary states on the number of particles, density regimes and boundary conditions for a fixed restitution coefficient and the existence of a limit state in the thermodynamic limit. For this we present a methodology based on the application of the characteristic function technique and the W function, introduced by Lévy to measure the distance of distributions from the Gaussian.