Hard discs under steady shear: comparison of Brownian dynamics simulations and mode coupling theory

TL;DR

This paper compares Brownian dynamics simulations and mode coupling theory to study the behavior of bidisperse hard discs under steady shear, focusing on structural and stress responses near the glass transition.

Contribution

It provides a quantitative comparison between simulations and mode coupling theory for sheared hard discs, highlighting areas of agreement and discrepancy.

Findings

Theory qualitatively explains yielding behavior.

Quantitatively overestimates shear stresses.

Structural anisotropies are also overestimated.

Abstract

Brownian dynamics simulations of bidisperse hard discs moving in two dimensions in a given steady and homogeneous shear flow are presented close to and above the glasstransition density. The stationary structure functions and stresses of shear-melted glass are compared quantitatively to parameter-free numerical calculations of monodisperse hard discs using mode coupling theory within the integration through transients framework. Theory qualitatively explains the properties of the yielding glass but quantitatively overestimatesthe shear-driven stresses and structural anisotropies.