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

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.

1. The original Phil. Trans. R. Soc. contains an error in the caption of the y-axes of the upper left panel in figure 9: There's a factor \dotγ missing in the denominator