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Updated: Jun 23, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Nonequilibrium mode-coupling theory for uniformly sheared systems.

Song-Ho Chong¹, Bongsoo Kim

¹Institute for Molecular Science, Okazaki 444-8585, Japan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|April 28, 2009

Summary

This summary is machine-generated.

We developed a new theory for sheared systems to predict their long-term behavior and flow properties. This approach uses microscopic equations and statistical mechanics to describe how density fluctuations evolve under shear.

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Last Updated: Jun 23, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Area of Science:

Statistical Mechanics
Non-equilibrium Physics
Rheology

Background:

Understanding the behavior of uniformly sheared systems is crucial in various scientific fields.
Existing theories often rely on simplified models, necessitating more comprehensive approaches.

Purpose of the Study:

To develop a novel nonequilibrium mode-coupling theory for uniformly sheared systems.
To describe stationary-state and rheological properties of these systems.

Main Methods:

Utilizing microscopic, thermostatted Sllod equations of motion.
Employing the projection-operator formalism and mode-coupling approach.
Formulating self-consistent equations for transient density correlators.

Main Results:

The theory expresses stationary-state properties using transient density correlators.
It provides a framework for analyzing correlations between equilibrium and sheared states.
A comparison with existing mode-coupling theories based on the Smoluchowski equation is presented.

Conclusions:

The developed theory offers a robust method for studying nonequilibrium phenomena in sheared systems.
It enhances the understanding of rheological properties from a microscopic perspective.
This work provides a foundation for further investigations into complex fluid dynamics.