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arXiv 0808.2198cond-mat.softcond-mat.dis-nn
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堵塞物质中体积和配位数的分布:介观系综

Distribution of volumes and coordination number in jammed matter: mesoscopic ensemble

Ping Wang, Chaoming Song, Yuliang Jin, Kun Wang, Hernan A. Makse

摘要:

我们使用Nature 453,606(2008)中开发的介观系综研究了与单分散硬球的堵塞包装中的每个颗粒相关的体积和配位数的分布。理论预测了随机密堆积和随机松堆积的取向体积的指数分布。与计算机生成的填料的比较揭示了偏离理论预测的体积分布,这可以更好地模拟由压缩指数函数。另一方面,平均体积很好地再现了理论导致RCP和RLP的极限密度的良好预测。我们讨论了一个更精确的理论,以捕捉在其整个范围内的体积分布。现有的数据表明,一个合理的顺序/无序过渡定义随机紧密包装。最后,我们考虑一个扩展的合奏计算的协调数分布,这是一个指数和逆指数的形式,协调大于和小于平均值,分别与模拟数据的合理协议。

英文摘要:

We investigate the distribution of the volume and coordination number associated to each particle in a jammed packing of monodisperse hard sphere using the mesoscopic ensemble developed in Nature 453, 606 (2008). Theory predicts an exponential distribution of the orientational volumes for random close packings and random loose packings. A comparison with computer generated packings reveals deviations from the theoretical prediction in the volume distribution, which can be better modeled by a compressed exponential function. On the other hand, the average of the volumes is well reproduced by the theory leading to good predictions of the limiting densities of RCP and RLP. We discuss a more exact theory to capture the volume distribution in its entire range. The available data suggests a plausible order/disorder transition defining random close packings. Finally, we consider an extended ensemble to calculate the coordination number distribution which is shown to be of an exponential and inverse exponential form for coordinations larger and smaller than the average, respectively, in reasonable agreement with the simulated data.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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