单分散球堆中接触数与密度的局部和整体关系
Local and Global relations between the number of contacts and density in monodisperse sphere packs
摘要：
从网络的晶粒之间的接触（\emph{contact network}）的拓扑结构进行了研究，为大样品的密度（体积分数的球体所占的）范围从0.59到0.64的单一尺寸的球体。我们检索包中每个珠子的坐标，并使用三种不同的方法计算平均配位数。我们发现，在所研究的密度范围内，配位数大于4，并随着填充分数的增加而增加。在局部水平上，我们还观察到局部填充分数和邻居数之间的正相关关系。我们发现的局部密度的配置与几个邻居在接触和全球样本密度之间的依赖性。这可能表明，具有少量邻居的局部配置能够塑性变形时，样品是紧凑的。PACS：45.70。n，颗粒系统; 45.70.Cc，静态沙堆;颗粒压实。
英文摘要：
The topological structure resulting from the network of contacts between grains (\emph{contact network}) is studied for large samples of monosized spheres with densities (fraction of volume occupied by the spheres) ranging from 0.59 to 0.64. We retrieve the coordinates of each bead in the pack and we calculate the average coordination number by using three different methods. We show that, in the range of density investigated, the coordination number is larger than 4 and it increases with the packing fraction. At local level we also observe a positive correlation between local packing fraction and number of neighbors. We discover a dependence between the local densities of configurations with few neighbors in contact and the global sample-denities. This might indicate that local configurations with small number of neighbors are able to deform plastically when the sample is compactifying. PACS: 45.70.-n, Granular Systems; 45.70.Cc, Static sandpiles; Granular Compaction.
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