Modelling inelastic Granular Media Using Dynamical Density Functional Theory

We construct a new mesoscopic model for granular media using Dynamical Density Functional Theory (DDFT). The includes both collision operator to incorporate inelasticity and the Helmholtz free energy functional account external potentials, interparticle interactions volume exclusion. use statistical data from event-driven microscopic simulations determine parameters not given analytically by closure relations used derive DDFT. numerically demonstrate crucial effects of each term in DDFT, importance including an accurately parametrised pair correlation function.