Abstract
The average number of constraints per particle < C(total)> in mechanically stable amorphous systems of Platonic solids approaches the isostatic limit at the jamming point (< C(total)> -> 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, chainlike face-face clusters form with finite extent-a signature of amorphous jammed systems.
Keywords
PACKINGS
DOI
10.1103/PhysRevE.84.030301
Citation
Phys. Rev. E 84, 030301(R)
Date of this Version
9-27-2011
Recommended Citation
Smith, Kyle C.; Fisher, Timothy; and Alam, Meheboob, "Isostaticity of constraints in amorphous jammed systems of soft frictionless Platonic solids" (2011). Birck and NCN Publications. Paper 951.
http://dx.doi.org/10.1103/PhysRevE.84.030301
Comments
This is the published version of Kyle C. Smith, Timothy S. Fisher, and Meheboob Alam. (27 September 2011). Isostaticity of constraints in amorphous jammed systems of soft frictionless Platonic solids. First published in the Physical Review E and is available online at: https://doi.org/10.1103/PhysRevE.84.030301