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A locally jammed packing is one in which the particles are locally trapped by fixed neighbors. A collectively jammed packing is one in which no collective motions with fixed boundary can unjam the packing. A strictly jammed packing is one in which no collective motions with deformable boundary can unjam the packing. The readers are referred to Refs. and for details.
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The asphericity of a particle is defined as the ratio of its circumsphere radius over its insphere radius.
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The asphericity of a particle is defined as the ratio of its circumsphere radius over its insphere radius.
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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.
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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.
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40
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81555218564
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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.
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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.
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42
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81555216105
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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.
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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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43
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0 is of the same magnitude as here.
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0 is of the same magnitude as here.
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44
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81555218565
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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.
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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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