Random Packings of Frictionless Particles

Abstract

We study random packings of frictionless particles at T=0. The packing fraction where the pressure becomes nonzero is the same as the jamming threshold, where the static shear modulus becomes nonzero. The distribution of threshold packing fractions narrows and its peak approaches random close-packing as the system size increases. For packing fractions within the peak, there is no self-averaging, leading to exponential decay of the interparticle force distribution.

4 pages, 3 figures

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• Active Jamming at Criticality
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• Phase transition in peristaltic transport of frictionless granular particles
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• Theory of simple glasses
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• Collective motion of macroscopic spheres floating on capillary ripples: Dynamic heterogeneity and dynamic criticality
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• Phonons and elasticity in critically coordinated lattices
• Slow Steady-Shear of Plastic Bead Rafts
• Hidden symmetries in jammed systems
• Jamming is a first-order transition with quenched disorder in amorphous materials sheared by cyclic quasistatic deformations
• Long-Range Correlations in Elastic Moduli and Local Stresses at the Unjamming Transition
• Temperature dependence of the transition packing fraction of thermal jamming in a harmonic soft sphere system
• Green-Kubo stress correlation function at the atomic scale and a long-range bond-orientational ordering in a model liquid
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• Comment on "Explicit Analytical Solution for Random Close Packing in $d=2$ and $d=3$"
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• Signal Transmissibility in Marginal Granular Materials
• Jamming as a random first-order percolation transition
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• Jamming on curved surfaces
• Translational and rotational velocities in shear-driven jamming of ellipsoidal particles
• Force propagation in isostatic granular packs
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• Critical fluctuations of elastic moduli in jammed solids
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• Understanding the Low-Frequency Modes in Disordered Systems at Single-Particle Level
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• Jamming in Perspective
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