Nonlinear Hydrodynamics of a Hard Sphere Fluid Near the Glas(2)

We conduct a numerical study of the dynamic behavior of a dense hard sphere fluid by deriving and integrating a set of Langevin equations. The statics of the system is described by a free energy functional of the Ramakrishnan-Yussouff form. We find that th

Abstract

Weconductanumericalstudyofthedynamicbehaviorofadensehardsphere uidbyderivingandintegratingasetofLangevinequations.ThestaticsofthesystemisdescribedbyafreeenergyfunctionaloftheRamakrishnan-Yussou form.We ndthatthesystemexhibitsglassybehaviorasevidencedthroughstretchedexponentialdecayandtwo-stagerelaxationofthedensitycorrelationfunction.ThecharacteristictimesgrowwithincreasingdensityaccordingtotheVogel-Fulcherlaw.Thewavenumberdependenceofthekineticsisextensivelyexplored.Theconnectionofourresultswithexperiment,modecouplingtheory,andmoleculardynamicsresultsisdiscussed.

1992PACSnumbers:64.70Pf,61.20Ja,61.20Lc