Criticality and marginal stability of the shear jamming transition of frictionless soft spheres

TL;DR

This paper investigates the critical behavior and marginal stability of shear jamming in frictionless soft spheres, revealing scaling laws and exponents consistent with isotropic jamming and mean field theory predictions.

Contribution

It provides a numerical analysis of shear jamming, demonstrating that critical exponents and stability conditions align with those of isotropic jamming and mean field theory.

Findings

Scaling laws near shear jamming are similar to isotropic jamming.

Exponents for force and gap distributions are consistent with marginal stability.

Results support mean field theory predictions for jamming.

Abstract

We study numerically the critical behavior and marginal stability of the shear jamming transition for frictionless soft spheres, observed to occur over a finite range of densities, associated with isotropic jamming for densities above the minimum jamming (J-point) density. Several quantities are shown to scale near the shear jamming point in the same way as the isotropic jamming point. We compute the exponents associated with the small force distribution and the interparticle gap distribution,and show that the corresponding exponents are consistent with the marginal stability condition observed for isotropic jamming, and with predictions of the mean field theory of jamming in hard spheres.