2011/04/30 by Kyle C. Smith, Meheboob Alam, Timothy S. Fisher · 1 citation
Materials Science · Physics and Astronomy · #Liquid Crystal Research Advancements #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat.mtrl-sci #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.84.030301
published as Physical Review E 84, 030301 2011 · 4 pages, 3 figures, 4 table
arxiv created 2011/06/28 · openalex publication_date 2011/09/27 · arxiv updated 2012/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.