Statistical thermodynammics of turbulent transport processes

The method of nonequilibrium statistical thermodynamics is applied to the theory of transport processes in a liquid in the presence of strong fluctuations. The distribution functional of the densities of the momentum, energy, and particle number satisfies a Fokker–Planck equation and determines the entropy of a state with strong fluctuations. This makes it possible to obtain not only a hierarchy of Reynolds equations but also an entropy production that gives expression to the second law of thermodynamics.