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

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.

6 pages, 2 figures and supplemental material as ancillary file

References in corpus (5)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Universal microstructure and mechanical stability of jammed packings
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Cited by in corpus (2)

• Shear hardening in frictionless amorphous solids near the jamming transition
• Comment on "Explicit Analytical Solution for Random Close Packing in $d=2$ and $d=3$"