Nonlinear hydrodynamics of a hard-sphere fluid near the glass transition

Lisa M. Lust, Oriol T Valls, Chandan Dasgupta

Research output: Contribution to journalArticlepeer-review

43 Scopus citations


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 a stretched exponential decay and a two-stage relaxation of the density correlation function. The characteristic times grow with increasing density according to the Vogel-Fulcher law. The wave-number dependence of the kinetics is extensively explored. The connection of our results with experiment, mode-coupling theory, and molecular-dynamics results is discussed.

Original languageEnglish (US)
Pages (from-to)1787-1798
Number of pages12
JournalPhysical Review E
Issue number3
StatePublished - 1993


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