Nonlinear hydrodynamics of a hard-sphere fluid near the glass transition.
Nonlinear hydrodynamics of a hard-sphere fluid near the glass transition.
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玻璃化转变附近的硬球流体的非线性流体动力学。
DOI：
10.1103/physreve.48.1787
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发表时间：
1993
期刊：
影响因子：
--
通讯作者：
Dasgupta
中科院分区：
文献类型：
--
作者：
Lust;Valls;Dasgupta
我们通过推导和积分一组朗之万方程，对致密硬球流体的动态行为进行了数值研究。系统的静力学由 Ramakrishnan-Yussouff 形式的自由能泛函描述。我们发现该系统表现出玻璃态行为，这一点可以通过密度相关函数的拉伸指数衰减和两阶段松弛来证明。根据 Vogel-Fulcher 定律，特征时间随着密度的增加而增长。动力学的波数依赖性得到了广泛的探索。讨论了我们的结果与实验、模式耦合理论和分子动力学结果的联系。
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.