Anomalous diffusion in polydisperse granular gases: Monte Carlo simulations

We perform a direct Monte Carlo simulation of the diffusion in a multicomponent granular medium. We investigate the diffusion coefficients and mean-squared displacements of granular particles in a polydisperse granular gas in a homogeneous cooling state containing an arbitrary number of species of different sizes and masses using both models of constant and time-dependent restitution coefficients. In our study, we used a powerful low-rank algorithm that allows for efficient simulation of highly polydisperse granular systems. Mean square displacements in Monte Carlo simulations are in good agreement with theoretical predictions.