Dissipation and velocity distribution at the shear-driven jamming transition

Abstract

We investigate energy dissipation and the distribution of particle velocities at the jamming transition for overdamped shear-driven frictionless disks in two dimensions at zero temperature. We find that the dissipation is caused by the fastest particles and that the fraction of particles responsible for the dissipation decreases towards zero as jamming is approached. These particles belong to an algebraic tail of the velocity distribution that approaches $\sim v^{-3}$ as jamming is approached. We further find that different measures of the velocity diverge differently, which means that concepts like "typical velocity" may no longer be used---a finding that should have implications for analytical approaches to shear-driven jamming.

Thoroughly rewritten with new analytical work as Supplemental material

References in corpus (4)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Unified Theory of Inertial Granular Flows and Non-Brownian Suspensions
• Critical Scaling of Shearing Rheology at the Jamming Transition of Soft Core Frictionless Disks
• Universality of Jamming Criticality in Overdamped Shear-Driven Frictionless Disks

Cited by in corpus (3)

• Phase Diagram for Inertial Granular Flows
• Dimensionality and viscosity exponent in shear-driven jamming
• Non-Affine Displacements Below Jamming under Athermal Quasi-Static Compression