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

Source: [Nonlinear Hydrodynamics of a Hard Sphere Fluid Near the Glass Transition](<https://www.sota2.com/research/paper/68fa24062c2a37601939e339>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T07:52:29.029Z

Authors: Lisa M. Lust, Oriol T. Valls, Chandan Dasgupta

Published: 1993-06-10T23:58:46.000Z

## Abstract

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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9306031>)

[PDF](<https://arxiv.org/pdf/cond-mat/9306031.pdf>)