ON THEORY OF LONG-WAVE NONEQUILIBRIUM FLUCTUATIONS

The regular method for construction of kinetic equations of the long-wave fluctuation theory is developed in a microscopic approach on the base of generalization of the kinetic Bogolyubov theory. The transition to the hydrodynamic theory of long-wave fluctuations is investigated in detail. The derived hydrodynamical equations describe a turbulent liquid state. The stochastic interpretation of both kinetic equations and hydrodynamical equations of long-wave fluctuation is presented. The generalization of the local-equilibrium Maxwell distribution is obtained and the concept of nonequilibrium entropy for fluctuating systems is introduced. The H-theorem is proved.