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Kinetics and hydrodynamics of long-wave fluctuations under external random force

Author

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  • Peletminskii, S.V.
  • Slyusarenko, Yu.V.
  • Sokolovsky, A.I.

Abstract

A universal phenomenological approach to study evolution of long-wave fluctuations caused by the external random force is developed. The Furutzu–Novikov theorem is generalized for non-Gaussian processes. General kinetic and hydrodynamic equations that include the effect of long-wave fluctuations are derived for the Gaussian distribution of the random force. The nonequilibrium entropy is determined in the presence of fluctuations in the system and the H-theorem is proved. It is shown that the Obukhov–Kolmogorov turbulence spectra can be found from the hydrodynamic equations of long-wave fluctuations obtained in this paper.

Suggested Citation

  • Peletminskii, S.V. & Slyusarenko, Yu.V. & Sokolovsky, A.I., 2003. "Kinetics and hydrodynamics of long-wave fluctuations under external random force," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 326(3), pages 412-429.
    • Handle: RePEc:eee:phsmap:v:326:y:2003:i:3:p:412-429
    DOI: 10.1016/S0378-4371(03)00255-3
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