Packing Nonspherical Particles - Princeton University

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Geometric Structure Approach to Jammed Particle Packings Torquato & Stillinger, Rev. Mod. Phys. (2010) Order Maps for Jammed Sphere Packings Optimal Strictly Jammed Packings A: Z = 7 MRJ: Z = 6 (isostatic) B: Z = 12 • MRJ packings are hyperuniform with quasi-long-range pair correlations with decay 1/r 4 . . – p. 2/28
3D Hard Spheres in Equilibrium Torquato & Stillinger, Rev. Mod. Phys. (2010) . – p. 3/28
Page 1 and 2: Packing Nonspherical Particles: All
Page 3: Geometric Structure Approach to Jam
Page 7 and 8: Dense Packings of Nonspherical Part
Page 9 and 10: Definitions A periodic packing is o
Page 11 and 12: Hyperuniformity for General Point P
Page 13 and 14: Packings of the Platonic and Archim
Page 15 and 16: Adaptive Shrinking Cell Optimizatio
Page 17 and 18: Kepler-Like Conjecture for a Class
Page 19 and 20: Superballs A d-dimensional superbal
Page 21 and 22: Conjecture 2: Another Organizing Pr
Page 23 and 24: Packings of Truncated Tetrahedra Th
Page 25 and 26: Maximally Dense Ellipsoidal Packing
Page 27 and 28: Generalizations of the Organizing P
Page 29 and 30: φ J 0.74 0.72 0.7 0.68 0.66 0.64 Z
Page 31 and 32: MRJ Packings of Nontiling Platonic
Page 33 and 34: Generalization of Hyperuniformity t

Packing Nonspherical Particles - Princeton University

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