partition function of the non-equilibrium state

Unification of kinetic and hydrodynamic approaches in the theory of dense gases and liquids far from equilibrium

A system of non-Markovian transport equations is obtained for the non-equilibrium one-particle distribution function of particles and the non-equilibrium average value of the density of the potential energy of the interaction of the system particles far from the equilibrium state.  Expressions for entropy, the partition function of the non-equilibrium state of the system, as well as non-equilibrium thermodynamic relations were obtained.  The generalized structure of transfer kernel is revealed in detail with the selection of short-range and long-range contributions of interactions between p