Spatial correlations in sheared isothermal liquids : From elastic particles to granular particles

TL;DR

This paper investigates spatial correlations in sheared isothermal liquids and granular materials, deriving correlation functions through generalized fluctuating hydrodynamics and confirming long-range power-law correlations via molecular dynamics simulations.

Contribution

It introduces a unified theoretical framework for analyzing spatial correlations in both elastic and granular sheared liquids, validated by simulations.

Findings

Confirmation of long-range power-law correlations

Derivation of correlation functions at microscopic and macroscopic scales

Validation of theoretical predictions through molecular dynamics

Abstract

Spatial correlations for sheared isothermal elastic liquids and granular liquids are theoretically investigated. Using the generalized fluctuating hydrodynamics, correlation functions for both the microscopic scale and the macroscopic scale are obtained. The existence of the long-range correlation functions obeying power laws has been confirmed. The validity of our theoretical predictions have been verified from the molecular dynamics simulation.