Langevin simulation of the dynamics of a dense hard sphere liquid

The dynamic behavior of a dense hard-sphere liquid is studied by numerically integrating a set of Langevin equations which incorporate a free-energy functional of the Ramakrishnan-Yussouff form. Several interesting features of glassy dynamics, such as stretched exponential decay of correlations, two-stage relaxation and Vogel-Fulcher growth of relaxation times, are reproduced and new results on the wavenumber dependence of the kinetics are obtained