Consistent Description of Kinetics and Hydrodynamics of Weakly Nonequilibrium Processes in Simple Liquids

Abstract

The generalized transport equations for a consistent description of kinetic and hydrodynamic processes in dense gases and liquids are considered. The inner structure of the generalized transport kernels for these equations is established. It is shown how in this approach to obtain the transport equation of molecular hydrodynamics. For the model potential of interaction presented as a sum of the hard spheres potential and certain long-range potential a spectrum of collective modes in the system is investigated.

BBGKY chain of kinetic equations, non-equilibrium statistical operator method and collective variable method in the statistical theory of non-equilibrium liquids

“…The set of equations (2.23), (2.25), (2.31), (2.32) allow for two limiting cases. The first, if the description of non-equilibrium processes does not take into account nonlinear hydrodynamic fluctuations, we will obtain the system of equations for a consistent description of kinetics and hydrodynamics obtained in 43705-10 papers [39,42,43]. These systems can be written as follows:…”

Unification of Thermo Field Kinetic and Hydrodynamics Approaches in the Theory of Dense Quantum–Field Systems

“…In his recent works [1,2,19], G. Röpke noted the importance of constructing a nonequilibrium theory in which along with hydrodynamic parameters, a cluster distribution function is taken into account, similarly to the case of the classical theory of non-equilibrium processes of dense gases and liquids [28][29][30][31].…”

Unification of Thermo Field Kinetic and Hydrodynamics Approaches in Theory of Dense Quantum–Field Systems

“…In his recent works [15,16,19] G. Röpke noted the importance of constructing a nonequilibrium theory in which along with hydrodynamic parameters a cluster distribution function are taken into account, similarly to the case of the classical theory of non-equilibrium processes of dense gases and liquids [28][29][30][31].…”