论文标题

最密集的硬球混合物的启发式方法

A heuristic approach for the densest packing fraction of hard-sphere mixtures

论文作者

Santos, Andrés, de Haro, Mariano López

论文摘要

在先前的工作中,提出了一种简单的方法来得出硬球混合物的干扰堆积分数,该方法是根据单个组分系统的随机封闭式组合的知识。现在,使用该方法扩展,以提供给定硬球混合物的最密集填料的近似公式,以FCC的单个组分硬球系统的FCC封闭式组合和单个参数的近距离包装,并将单个参数封装了对单位单元格中尺寸比和球体数量的依赖性的单个参数。进行了与二进制和三元系统的这种最密集填料的最新结果的比较,并获得了合理的一致性。

In a previous work, a simple approach to derive the jamming packing fraction of a hard-sphere mixture from the knowledge of the random close-packing fraction of the monocomponent system was proposed. Now, an extension of that approach is applied to provide an approximate formula for the densest packing fraction of a given hard-sphere mixture in terms of the fcc close-packing fraction of a monocomponent hard-sphere system and of a single parameter encapsulating the dependence on the size ratios and the number of spheres in the unit cell. Comparison with recent results for such densest packing fraction of binary and ternary systems is performed and reasonable agreement is obtained.

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