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arXiv · 1311.3886

Pressure Distribution and Critical Exponent in Statically Jammed and Shear-Driven Frictionless Disks

Daniel Vagberg·Yegang Wu·Peter Olsson·S. Teitel
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Abstract

We numerically study the distributions of global pressure that are found in ensembles of statically jammed and quasistatically sheared systems of bidisperse, frictionless, disks at fixed packing fraction $ϕ$ in two dimensions. We use these distributions to address the question of how pressure increases as $ϕ$ increases above the jamming point $ϕ_J$, $p\sim |ϕ- ϕ_J|^y$. For statically jammed ensembles, our results are consistent with the exponent $y$ being simply related to the power law of the interparticle soft-core interaction. For sheared systems, however, the value of $y$ is consistent with a non-trivial value, as found previously in rheological simulations.

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Daniel Vagberg, Yegang Wu, Peter Olsson, S. Teitel. 2013-11-15. Pressure Distribution and Critical Exponent in Statically Jammed and Shear-Driven Frictionless Disks. https://doi.org/10.1103/physreve.89.022201

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