Isostaticity of Constraints in Jammed Systems of Soft Frictionless Platonic Solids

Details Isostaticity of Constraints in Jammed Systems of Soft Frictionless Platonic Solids Isostaticity of Constraints in Jammed Systems of Soft Frictionless Platonic Solids

2011-04-26

arxiv.org/abs/1104.4933v2

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 3 figures, 4 table

Scientific paper

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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