Critical behaviors of sheared frictionless granular materials near jamming transition

TL;DR

This paper investigates the critical behaviors of sheared frictionless granular materials near the jamming transition through molecular dynamics simulations, confirming a scaling theory and analyzing key physical properties.

Contribution

It verifies the scaling theory near the jamming transition and elucidates the critical behaviors of shear viscosity and pair correlation functions.

Findings

Validation of the scaling theory near jamming transition

Identification of critical behavior in shear viscosity

Analysis of pair correlation function behavior

Abstract

Critical behaviors of sheared dense and frictionless granular materials in the vicinity of the jamming transition are numerically investigated. From the extensive molecular dynamics simulation, we verify the validity of the scaling theory near the jamming transition proposed by Otsuki and Hayakawa (Prog. Theor. Phys., 121, 647 (2009)). We also clarify the critical behaviors of the shear viscosity and the pair correlation function based on both a phenomenology and the simulation.