软无边界理想固体受扰系统中约束的等静性
Isostaticity of Constraints in Jammed Systems of Soft Frictionless Platonic Solids
摘要：
在机械稳定的柏拉图固体（立方体除外）系统中，每个粒子的平均约束数$< C_{total} >$接近堵塞点（$< C_{total} > \rightarrow 12$）的均衡极限，尽管平均接触数是实体的。通过引入角度对准度量来分类由每个接触施加的约束的程度，示出约束作为反映在边缘-面和面-面对准角度分布中的局部取向顺序的直接结果而出现。在这些体系中，每个粒子都有一个面-面接触，形成有限范围的链状面-面簇。
英文摘要：
The average number of constraints per particle $< C_{total} >$ in mechanically stable systems of Platonic solids (except cubes) approaches the isostatic limit at the jamming point ($< C_{total} > \rightarrow 12$), though average number of contacts are hypostatic. By introducing angular alignment metrics to classify the degree of constraint imposed by each contact, constraints are shown to arise as a direct result of local orientational order reflected in edge-face and face-face alignment angle distributions. With approximately one face-face contact per particle at jamming chain-like face-face clusters with finite extent form in these systems.
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