Jamming with tunable roughness

Abstract

We introduce a new model to study the effect of surface roughness on the jamming transition. By performing numerical simulations, we show that for a smooth surface, the jamming transition density and the contact number at the transition point both increase upon increasing asphericity, as for ellipsoids and spherocylinders. Conversely, for a rough surface, both quantities decrease, in quantitative agreement with the behavior of frictional particles. Furthermore, in the limit corresponding to the Coulomb friction law, the model satisfies a generalized isostaticity criterion proposed in previous studies. We introduce a counting argument that justifies this criterion and interprets it geometrically. Finally, we propose a simple theory to predict the contact number at finite friction from the knowledge of the force distribution in the infinite friction limit.

arXiv comment6 pages, 6 figures

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• A geometric probabilistic approach to random packing of hard disks in a plane
• Complex Memory Formation in Frictional Granular Media
• Disorder Perturbation Expansion for Athermal Crystals
• Annealed averages in spin and matrix models
• Theory of rigidity and numerical analysis of density of states of two-dimensional amorphous solids with dispersed frictional grains in the linear response regime
• Comment on "Explicit Analytical Solution for Random Close Packing in $d=2$ and $d=3$"
• Testing mean-field theory for jamming of non-spherical particles: Contact number, gap distribution, and vibrational density of states