Generalised Langevin equation for nonequilibrium systems

Date

2001

Authors

McPhie, M G
Daivis, P
Snook, Ian K
Ennis-King, Jonathan Patrick
Evans, Denis

Journal Title

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Volume Title

Publisher

Elsevier

Abstract

We derive a generalized Langevin Equation (GLE) for the evolution of an arbitrary phase variable in a classical fluid that is initially at equilibrium and is subsequently subjected to an external field and a thermostat of the type used in nonequilibrium molecular dynamics computer simulations. The nonequilibrium steady state GLE is shown to have the same form as the equilibrium GLE at long times. We use our generalized Langevin equation to derive a simple Langevin equation for the motion of a single heavy Brownian particle in a solvent under steady state planar shear.

Description

Keywords

Keywords: Brownian movement; Computer simulation; Differential equations; Solvents; Steady flow; Thermostats; Generalized Langevin equation (GLE); Molecular dynamics Brownian motion; Langevin equation; Shear

Citation

Source

Physica A: Statistical mechanics and its applications

Type

Journal article

Book Title

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Restricted until

2037-12-31