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On the Langevin formalism for nonlinear and nonequilibrium hydrodynamic fluctuations

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  • Morozov, V.G.

Abstract

The Landau-Lifshitz method of fluctuating hydrodynamics is generalized to the cases of nonlinear and nonequilibrium fluctuations. For a simple one-component fluid, the multiplicative random fluxes are constructed by using universal Gaussian variables with variances independent of the specific parameters of a fluid. It is shown that the nonlinear Langevin formalism proposed is equivalent to the approach based on the hydrodynamic Fokker-Planck equation derived earlier by statistical-mechanical methods. Then, the scheme is extended to the case of two-component fluids, where cross effects must be taken into account. In conclusion, the connection of the present formalism with the Keizer approach to nonequilibrium fluctuations is discussed.

Suggested Citation

  • Morozov, V.G., 1984. "On the Langevin formalism for nonlinear and nonequilibrium hydrodynamic fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 126(3), pages 443-460.
    • Handle: RePEc:eee:phsmap:v:126:y:1984:i:3:p:443-460
    DOI: 10.1016/0378-4371(84)90211-5
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    References listed on IDEAS

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    1. Langouche, F. & Roekaerts, D. & Tirapegui, E., 1980. "WKB-type expansion for Langevin equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(2), pages 301-323.
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    Cited by:

    1. Omelyan, I.P. & Tokarchuk, M.V., 1996. "Kinetic equation for liquids with a multistep potential of interaction. H-theorem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 234(1), pages 89-107.
    2. Morozov, V.G. & Röpke, G., 1995. "Quantum kinetic equation for nonequilibrium dense systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(4), pages 511-538.
    3. Kobryn, A.E. & Morozov, V.G. & Omelyan, I.P. & Tokarchuk, M.V., 1996. "Enskog-Landau kinetic equation. Calculation of the transport coefficients for charged hard spheres," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(1), pages 189-201.

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