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首页> 外文期刊>Zeitschrift fur Physik, B. Condensed Matter >On some natural and model 2D bimodal random cellular structures
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On some natural and model 2D bimodal random cellular structures

机译：关于一些自然的和模型的二维双峰随机细胞结构

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摘要

The topological and metric properties of a few natural 2D random cellular structures, namely an armadillo shell structure and young soap froths, which are formed from two classes of cells, large and small, have been characterized. The topological properties of a model generated from a Kagome tiling, which mimics such random binary structures, have also been exactly calculated. The distribution of the number of cell sides is bimodal for the structures investigated. In contrast to the classical Aboav-Weaire law for homogeneous 2D random cellular structures, nm(n), the mean total number of edges of neighbouring cells of cells with n sides does not vary linearly with n. Only the nm(i, n) (i = 1, 2) determined separately for every class of cells are linear in n for all investigated structures. Topological properties and correlations between metric and topological properties are finally compared with the predictions of various literature models.
机译：表征了一些自然的2D随机细胞结构（即犰狳壳结构和年轻的肥皂泡沫）的拓扑结构和度量特性，它们由大小不同的两类细胞形成。由Kagome切片生成的模拟这种随机二元结构的模型的拓扑特性也已得到精确计算。对于所研究的结构，细胞侧数的分布是双峰的。与用于均匀2D随机细胞结构nm（n）的经典Aboav-Weaire法则相反，具有n边的细胞的相邻细胞的平均边缘总数并不随n线性变化。对于所有研究的结构，仅分别为每一类细胞确定的nm（i，n）（i = 1，2）在n中都是线性的。最后，将拓扑性质以及度量和拓扑性质之间的相关性与各种文献模型的预测进行了比较。

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