Anomalous diffusion in polydisperse granular gases: Monte Carlo simulations

We investigate both ensemble and time-averaged mean-squared displacements of particles in a polydisperse granular system in a homogeneous cooling state. The system contains an arbitrary number of species of different sizes and masses. The collisions between granular particles are described in terms of the models both of constant and time-dependent restitution coefficients. In our study, we use a powerful low-rank algorithm that allows for efficient simulation of highly polydisperse granular systems. The Monte Carlo simulations are in good agreement with the analytical results.