Mode-coupling theory of sheared dense granular liquids

TL;DR

This paper develops a mode-coupling theory for dense granular liquids under shear, revealing a plateau in the density correlation function near jamming, similar to elastic particles, using a derived generalized Langevin equation.

Contribution

It formulates a new MCT framework for sheared dense granular liquids near jamming, extending the understanding of their dynamic correlations.

Findings

Presence of a plateau in the density correlation function

MCT equation for granular liquids is similar to that for elastic particles

Theoretical foundation for jamming transition dynamics

Abstract

Mode-coupling theory (MCT) of sheared dense granular liquids %in the vicinity of jamming transition is formulated. Starting from the Liouville equation of granular particles, the generalized Langevin equation is derived with the aid of the projection operator technique. The MCT equation for the density correlation function obtained from the generalized Langevin equation is almost equivalent to MCT equation for elastic particles under the shear. It is found that there should be the plateau in the density correlation function.