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Volumn 84, Issue 4, 2011, Pages

Maximally random jammed packings of Platonic solids: Hyperuniform long-range correlations and isostaticity

Author keywords

[No Author keywords available]

Indexed keywords

HYPERUNIFORM; ISOSTATICITY; JAMMED PACKINGS; LONG RANGE CORRELATIONS; NONSPHERICAL PARTICLE; ORIENTATIONAL ORDERS; PACKING FRACTIONS; PAIR CORRELATIONS; PLATONIC SOLIDS;

EID: 81555213018     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.041309     Document Type: Article
Times cited : (168)

References (47)
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    • This procedure is similar to those used in Refs. to produce MRJ packings of various smooth-shaped particles. Two polyhedra are considered to be contacting one another if their gap is <0.001 of the circumradius of the particles.
    • This procedure is similar to those used in Refs. to produce MRJ packings of various smooth-shaped particles. Two polyhedra are considered to be contacting one another if their gap is < 0.001 of the circumradius of the particles.
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    • Studies of different order metrics for three-dimensional frictionless spheres have consistently led to a minimum at approximately the same density 0.64 for collectively and strictly jammed packings. This consistency among the different order metrics speaks to the utility of the order-metric concept, even if a perfect order metric has not yet been identified. See Refs. and for detailed discussions on order metrics.
    • Studies of different order metrics for three-dimensional frictionless spheres have consistently led to a minimum at approximately the same density 0.64 for collectively and strictly jammed packings. This consistency among the different order metrics speaks to the utility of the order-metric concept, even if a perfect order metric has not yet been identified. See Refs. and for detailed discussions on order metrics.
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    • This definition of C(r) closely follows the definition of the angular correlation function S(r) defined by in Ref.. For tetrahedra, C(r) and S(r) are equivalent.
    • This definition of C (r) closely follows the definition of the angular correlation function S (r) defined by Jaoshvili in Ref.. For tetrahedra, C (r) and S (r) are equivalent.
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    • 0 is of the same magnitude as here.
    • 0 is of the same magnitude as here.
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    • MRJ for very elongated ellipsoids and superellipsoids are smaller than φMRJsphere. When the asphericity of a particle is close to unity (γ<1.2), its MRJ packing fraction is always above the corresponding value for a sphere; see Refs. and.
    • MRJ for very elongated ellipsoids and superellipsoids are smaller than φ MRJ sphere. When the asphericity of a particle is close to unity (γ < 1.2), its MRJ packing fraction is always above the corresponding value for a sphere; see Refs. and.
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