Slow Dynamics Near Jamming
Kuniyasu Saitoh, Vanessa Magnanimo, Stefan Luding

TL;DR
This study explores the slow dynamics and critical scaling behaviors of bidisperse particles near the jamming transition, revealing new scaling laws and diverging relaxation times.
Contribution
It uncovers a new scaling of maximum overlap and demonstrates how the ratio of kinetic to potential energies diverges near jamming.
Findings
Maximum overlap scaling differs from mean overlap scaling.
Relaxation time diverges at the jamming point.
Kinetic to potential energy ratio slows down dramatically near jamming.
Abstract
Static and dynamic properties of two-dimensional bidisperse dissipative particles are numerically studied near the jamming transition. We investigate the dependency of the critical scaling on the ratio of the different diameters and find a new scaling of the maximum overlap (not consistent with the scaling of the mean overlap). The ratio of kinetic and potential energies drastically slows down near the jamming transition, i.e. the relaxation time diverges at the jamming point.
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