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

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 $\varphi$ in two dimensions. We use these distributions to address the question of how pressure increases as $\varphi$ increases above the jamming point ${\varphi }_J$, $p\sim |\varphi -{\varphi }_J{|}^y$. 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.

6 pages, 6 figures

References in corpus (2)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Critical Scaling of Shearing Rheology at the Jamming Transition of Soft Core Frictionless Disks

Cited by in corpus (1)

• Mapping the jamming transition of bidisperse mixtures