Numerical studies of langevin equations for the dynamics of a dense hard sphere fluid

We review numerical results obtained by deriving and solving a set of Langevin equations corresponding to a hard sphere system. We present results showing the different relaxation regimes that are found to exist at moderately high densities, and the different time scales that influence the behavior of the system at higher densities. The results are discussed in connection with those from experiments, molecular dynamics simulations, and mode coupling theory.