Fluctuations about simple nonequilibrium steady states
- 1 March 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 23 (3), 1451-1480
- https://doi.org/10.1103/physreva.23.1451
Abstract
The Langevin formalism that describes fluctuations about thermodynamic equilibrium is extended to study hydrodynamic nonequilibrium steady states. The limitations of our generalization are discussed as well as the connection between experimental and theoretical quantities which is more subtle than in equilibrium. The spectrum for Brillouin scattering from a fluid in a shear flow or temperature gradient is simply obtained by Langevin methods. The latter problem exhibits an asymmetry in the height of the peaks inversely proportional to the square of the scattering wave vector. We also construct a microscopic ensemble that is applicable to a variety of hydrodynamic nonequilibrium steady states, and then verify for a particular model that our extension of the Langevin method agrees with a fully microscopic calculation.Keywords
This publication has 22 references indexed in Scilit:
- Fluctuations about hydrodynamic nonequilibrium steady statesPhysics Letters A, 1980
- Hydrodynamic Theory of Light Scattering from a Fluid in a Nonequilibrium Steady StatePhysical Review Letters, 1980
- Light Scattering and Pair-Correlation Functions in Fluids with Nonuniform Velocity FieldsPhysical Review Letters, 1979
- Kinetic Theory of Light Scattering from a Fluid Not in EquilibriumPhysical Review Letters, 1979
- Microscopic calculation of the nonlinear current fluctuations of a metallic resistor: The problem of heating in perturbation theoryPhysical Review A, 1979
- Statistical mechanics of stationary states. III. Fluctuations in dense fluids with applications to light scatteringPhysical Review A, 1979
- Light Scattering from Nonequilibrium Stationary States: The Implication of Broken Time-Reversal SymmetryPhysical Review Letters, 1979
- A theory of spontaneous fluctuations in viscous fluids far from equilibriumPhysics of Fluids, 1978
- Nonequilibrium Theory of Fluid FluctuationsPhysics of Fluids, 1970
- Fluctuations from the Nonequilibrium Steady StateReviews of Modern Physics, 1960