Nonlinear Hydrodynamics of a Hard Sphere Fluid Near the Glass Transition

Details Nonlinear Hydrodynamics of a Hard Sphere Fluid Near the Glass Transition Nonlinear Hydrodynamics of a Hard Sphere Fluid Near the Glass Transition

1993-06-10

arxiv.org/abs/cond-mat/9306031v1

Physics

Condensed Matter

34 Pages, Plain TeX, 12 PostScript Figures (not included, available on request)

Scientific paper

10.1103/PhysRevE.48.1787

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 the system exhibits glassy behavior as evidenced through stretched exponential decay and two-stage relaxation of the density correlation function. The characteristic times grow with increasing density according to the Vogel-Fulcher law. The wavenumber dependence of the kinetics is extensively explored. The connection of our results with experiment, mode coupling theory, and molecular dynamics results is discussed.

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