Statistical theory of nonequilibrium fluctuations with large correlation range

The reduced description method is used to obtain general equations describing the evolution of the nonequilibrium fluctuations of the hydrodynamic parameters at times $t\gg\tau_r$ ($\tau_r$ is the relaxation time), when states with large nonequilibrium correlation range arise in the system. The part played in the kinetics of the fluctuations of the operation of averaging the hydrodynamic parameters over physically infinitesimally small volume elements is elucidated. Asymptotic representations are obtained for various “averages” of the physical quantities in this region of times and power relaxation laws are derived.