Scaling properties of granular rheology near the jamming transition

TL;DR

This paper investigates the critical scaling laws of rheological properties in dense granular materials near the jamming transition, revealing non-universal exponents dependent on force models and their relation to correlation length growth.

Contribution

It demonstrates that rheological properties obey critical scaling near jamming, with exponents depending on force models, highlighting non-universality in granular rheology.

Findings

Shear stress, pressure, and temperature follow critical scaling laws near jamming.

Scaling exponents depend on interparticle force models.

Relations between exponents and correlation length are established.

Abstract

Rheological properties of a dense granular material consisting of frictionless spheres are investigated. It is found that the shear stress, the pressure, and the kinetic temperature obey critical scaling near the jamming transition point, which is considered as a critical point. These scaling laws have some peculiar properties in view of conventional critical phenomena because the exponents depend on the interparticle force models so that they are not universal. It is also found that these scaling laws imply the relation between the exponents that describe the growing correlation length.