DISSIPATIVE DYNAMICS FOR HARD-SPHERES

The dynamics for a system of hard spheres with dissipative collisions is described at the levels of statistical mechanics, kinetic theory, a nd simulation. The Liouville operator(s) and associated binary scatter ing operators are defined as the generators for time evolution in phas e space. The BBGKY hierarchy for reduced distribution functions is giv en, and an approximate kinetic equation is obtained that extends the r evised Enskog theory to dissipative dynamics. A Monte Carlo simulation method to solve this equation is described, extending the Bird method to the dense, dissipative hard-sphere system. A practical kinetic mod el for theoretical analysis of this equation also is proposed. As an i llustration of these results, the kinetic theory and the Monte Carlo s imulations are applied to the homogeneous cooling state of rapid granu lar flow.