Nonlinear Hydrodynamics of a Hard Sphere Fluid Near the Glass Transition
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.
Keywords
Cite
@article{arxiv.cond-mat/9306031,
title = {Nonlinear Hydrodynamics of a Hard Sphere Fluid Near the Glass Transition},
author = {Lisa M. Lust and Oriol T. Valls and Chandan Dasgupta},
journal= {arXiv preprint arXiv:cond-mat/9306031},
year = {2009}
}
Comments
34 Pages, Plain TeX, 12 PostScript Figures (not included, available on request)