二维硬盘系统的碰撞统计与动力学：从流体到固体
Collisional Statistics and Dynamics of 2D Hard-Disk Systems: From Fluid to Solid
摘要：
我们进行了广泛的MD模拟的二维系统的硬盘，专注于\emph{on}碰撞统计特性。我们分析了从流体到固相的填充分数的速度，自由飞行时间和自由程长度的分布函数。平均自由飞行时间和后续碰撞之间的路径长度的行为被发现急剧变化的共存阶段。我们发现，单粒子动力学性质的行为类似于在碰撞和连续时间表示，表现出明显的流体和固相之间的交叉。我们发现，无论是在碰撞和连续的时间表示，均方位移，速度自相关函数，中间散射函数和自身的一部分的van Hove函数（传播子），密切再现相同的行为所表现出的相应数量在颗粒介质，胶体和过冷液体接近玻璃或堵塞过渡。
英文摘要：
We perform extensive MD simulations of two-dimensional systems of hard disks, focusing on the \emph{on}-collision statistical properties. We analyze the distribution functions of velocity, free flight time and free path length for packing fractions ranging from the fluid to the solid phase. The behaviors of the mean free flight time and path length between subsequent collisions are found to drastically change in the coexistence phase. We show that single particle dynamical properties behave analogously in collisional and continuous time representations, exhibiting apparent crossovers between the fluid and the solid phase. We find that, both in collisional and continuous time representation, the mean square displacement, velocity autocorrelation functions, intermediate scattering functions and self part of the van Hove function (propagator), closely reproduce the same behavior exhibited by the corresponding quantities in granular media, colloids and supercooled liquids close to the glass or jamming transition.
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