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.
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