Freezing in finite systems: hard discs in circular cavities
Freezing in finite systems: hard discs in circular cavities
复制标题
有限系统中的冻结：圆形空腔中的硬盘
DOI：
10.1088/0953-8984/10/28/003
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
H. Löwen
中科院分区：
文献类型：
--
作者：
Z. Nemeth;H. Löwen
本文用解析方法和分子动力学计算机模拟方法研究了一个简单的圆腔内N个硬盘模型的统计和遍历性质。该模型表现出遍历性打破在不同的密度，以及动力学交叉从流体动力学弛豫粒子交换跳跃过程。我们计算了在大范围的N上的相关密度。动力学交叉的阈值密度与各态历经破缺密度不相关。对于，动力学交叉对应于硬盘的散装系统的冻结转变。对于有限的N，我们发现交叉密度小于体积冻结密度。最后，我们讨论了我们的结果的相关性，在多孔介质中的玻璃化和结晶化转变。
Statistical and ergodic properties of a simple model of N hard discs in a circular cavity are investigated by means of analytical considerations and molecular dynamics computer simulations. The model exhibits ergodicity breaking at different densities as well as a kinetic crossover from hydrodynamic relaxation to particle exchange hopping processes. We calculate the associated densities over a large range of N. The threshold densities for the kinetic crossover are not correlated with the ergodicity-breaking density. For , the kinetic crossover corresponds to the freezing transition of the bulk system of hard discs. For finite N, we found that the crossover densities are smaller than the bulk freezing density. We finally discuss the relevance of our results for the glass and crystallization transitions in porous media.