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

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

Physica A: Statistical Mechanics and its Applications, 2003, vol. 326, issue 3, 412-429

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.

Keywords: Long-wave fluctuations; Random forces; Fluctuation kinetics; Fluctuation hydrodynamics; Entropy; Turbulence spectra (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:326:y:2003:i:3:p:412-429

DOI: 10.1016/S0378-4371(03)00255-3

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