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Structural diversity of random aggregates of identical spheres
Journal of Physics A: Mathematical and Theoretical ( IF 2.1 ) Pub Date : 2021-01-13 , DOI: 10.1088/1751-8121/abd5c8
Marc Blétry

Random aggregates of hard spheres can be formed either by aggregation or by dynamic reorganization. The resulting two broad families of aggregates present different geometrical structures that have not been studied in a systematic fashion to this day. We investigate various structural indicators (contact coordination number, Delaunay tetrahedra, Voronoi polyhedra, pair distribution functions,…) of aggregates belonging to these two broad families, building them by using Lubachevsky–Stillinger algorithm for the aggregates formed by dynamic reorganization and a family of aggregation algorithms. This comparison takes place over a large range of packing fraction, from 0.370 up to 0.640. This allows distinguishing significant differences between random aggregates formed by aggregation or in a dynamic manner, or according to the contacting status of the spheres. Various structural commonalities are also investigated by different structural indicators. An evaluation of the parameters that could distinguish between all studied aggregates is also proposed.



中文翻译:

同一球体的随机聚集体的结构多样性

硬球的随机聚集可以通过聚集或动态重组形成。所得的两大类聚集体具有不同的几何结构,至今尚未有系统地进行研究。我们研究属于这两个大家族的骨料的各种结构指标(接触协调数,Delaunay四面体,Voronoi多面体,对分布函数等),并通过使用Lubachevsky-Stillinger算法构建由动态重组和聚合算法。该比较在很大范围的填充分数(从0.370到0.640)之间进行。这可以区分由聚集或动态方式形成的随机聚集之间的显着差异,或根据球体的接触状态。还通过不同的结构指标研究了各种结构共性。还提出了可以区分所有已研究骨料的参数的评估。

更新日期:2021-01-13
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