Generalized Langevin equation for nonequilibrium systems

M. G. McPhie, P. J. Daivis*, I. K. Snook, J. Ennis, D. J. Evans

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    29 Citations (Scopus)

    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.

    Original languageEnglish
    Pages (from-to)412-426
    Number of pages15
    JournalPhysica A: Statistical Mechanics and its Applications
    Volume299
    Issue number3-4
    DOIs
    Publication statusPublished - 15 Oct 2001

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