Fluctuation dissipation relations in stationary states of interacting Brownian particles under shear

TL;DR

This paper investigates how steady shear affects fluctuation dissipation relations near the glass transition in colloidal suspensions, revealing a modified FDT with a different ratio in the stationary state.

Contribution

It demonstrates how shear breaks detailed balance and alters the fluctuation dissipation theorem in interacting Brownian particles near the glass transition.

Findings

Response functions are reduced at long times under shear.

An asymptotic relation links response and fluctuations during shear-driven decay.

The FDT form is restored but with a different ratio from equilibrium.

Abstract

The fluctuation dissipation theorem (FDT) is studied close to the glass transition in colloidal suspensions under steady shear. Shear breaks detailed balance in the many-particle Smoluchowski equation, and gives response functions in the stationary state which are smaller at long times than estimated from the equilibrium FDT. During the final shear-driven decay, an asymptotically constant relation connects response and fluctuations, restoring the form of the FDT with, however, a ratio different from the equilibrium one.