19-03U

A set of parameters, which includes collective variables, for reduced description in a manner of Bogolyubov is optimized for a consistent description of kinetics and hydrodynamics of interacting particle systems. The contributions from short and long-range interactions were separated. The short-range interactions are described in the coordinate-momentum space, while the long-range ones are described in the space of collective variables. Next, using the Zubarev's non-equilibrium statistical operator method, a system of transportequations for a non-equilibrium one-particle distribution function, a average value of the particle interaction energy and a distribution function of collective variables were obtained. The application of the collective variables method allows to calculate both the structural function and the hydrodynamic velocities in approximations higher than Gaussian are calculated.