Time correlation function of the shear stress in sheared particle systems

TL;DR

This paper investigates the long-time decay behaviors of the shear stress time correlation function in sheared fluids, revealing different crossover behaviors depending on the fluid type and thermal conditions.

Contribution

It provides a theoretical analysis of the crossover behaviors in shear stress correlation functions for different sheared fluid systems.

Findings

Crossover from t^{-3/2} to t^{-2} in elastic, non-thermostatted fluids.

Crossover from t^{-3/2} to t^{-5/2} in isothermal, granular fluids.

Different long-time decay behaviors depend on fluid type and thermal conditions.

Abstract

The long-time behaviors of the time correlation function $C_\eta(t)$ of the shear stress for three-dimensional sheared fluids are investigated theoretically. It is found that there are the cross-overs in $C_\eta(t)$ from $t^{-3/2}$ to $t^{-2}$ for sheared fluids of elastic particles without any thermostat, and from $t^{-3/2}$ to $t^{-5/2}$ for isothermal sheared fluids including granular fluids.