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Isostaticity of Constraints in Jammed Systems of Soft Frictionless Platonic Solids
- Source :
- Physical Review E 84, 030301 2011
- Publication Year :
- 2011
-
Abstract
- 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.<br />Comment: 4 pages, 3 figures, 4 table
Details
- Database :
- arXiv
- Journal :
- Physical Review E 84, 030301 2011
- Publication Type :
- Report
- Accession number :
- edsarx.1104.4933
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevE.84.030301