Test of mean-field equations for two types of hard-sphere systems by a Brownian-dynamics simulation and a molecular-dynamics simulation.
Test of mean-field equations for two types of hard-sphere systems by a Brownian-dynamics simulation and a molecular-dynamics simulation.
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DOI：
10.1103/physreve.67.062403
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发表时间：
2003-06
期刊：
影响因子：
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通讯作者：
M. Tokuyama;Hiroyuki Yamazaki;Y. Terada
中科院分区：
文献类型：
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作者：
M. Tokuyama;Hiroyuki Yamazaki;Y. Terada
均方位移的平均场非线性方程，最近由一位作者提出 [M.德山，物理学家。修订版 E 62，R5915 (2000)； Physica A 289, 57 (2001)]，硬球的浓缩平衡悬浮液被扩展为描述硬球的平衡原子系统。通过两种计算机模拟研究了两类平均场方程的有效性；硬球悬浮液的布朗动力学模拟和硬球原子系统的分子动力学模拟。对于不同的体积分数，平均场方程和模拟之间显示出良好的一致性。因此，这两种类型的硬球模型系统在液固转变的研究中显示出彼此相同。然而，分析表明，为了理解这两个系统中的液体-玻璃转变机制，新的相互作用是必不可少的。
A mean-field nonlinear equation for the mean-square displacement, recently proposed by one of the present authors [M. Tokuyama, Phys. Rev. E 62, R5915 (2000); Physica A 289, 57 (2001)], for concentrated, equilibrium suspensions of hard spheres is extended to describe equilibrium atomic systems of hard spheres. The validity of two types of mean-field equations is investigated by two kinds of computer simulations; a Brownian-dynamics simulation on suspensions of hard spheres and a molecular-dynamics simulation on atomic systems of hard spheres. A good agreement between the mean-field equations and simulations is then shown for different volume fractions. The two types of model systems of hard spheres are thus shown to be identical to each other on the study of the liquid-solid transition. However, analyses suggest that a new interaction is indispensable to understand the mechanism for the liquid-glass transition in both systems.