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

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Published on: December 4, 2017

Nonisothermal fluctuating hydrodynamics and Brownian motion.

G Falasco^1,2, K Kroy¹

¹Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, D-04009 Leipzig, Germany.

Physical Review. E

|April 15, 2016

Summary

This study extends Brownian dynamics theory to nonisothermal conditions, developing stochastic equations for fluid momentum fluctuations. The research shows temperature fluctuations have negligible impact on suspended particles under typical experimental settings.

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Area of Science:

Physics
Physical Chemistry
Fluid Dynamics

Background:

Classical Brownian dynamics theory relies on coarse-graining solvent hydrodynamics.
Extending this theory to nonisothermal conditions presents significant challenges.

Purpose of the Study:

To develop a theoretical framework for Brownian dynamics under globally nonisothermal conditions.
To derive the stochastic equations of motion for fluid momentum fluctuations with suspended particles.
To establish the nonisothermal generalized Langevin description for Brownian particles.

Main Methods:

Coarse-graining linearized fluctuating hydrodynamics of the solvent.
Starting from fundamental conservation laws.
Contracting fluid momentum equations to particle dynamics.

Main Results:

Established stochastic equations of motion for fluid momentum fluctuations in nonisothermal solvents.
Derived the nonisothermal generalized Langevin description for Brownian particles.
Demonstrated that coupling to stochastic temperature fluctuations is negligible.

Conclusions:

The extended theory accurately describes Brownian dynamics in nonisothermal environments.
Local thermal equilibration of the solvent is sufficient for this framework.
Temperature fluctuations do not significantly affect Brownian particle dynamics in typical experiments.