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  3. Volume 10, Number 2, 2023
  4. Unification of kinetic and hydrodynamic approaches in the theory of dense gases and liquids far from equilibrium

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

MMC.
2023;
Volume 10, Number 2
: pp. 272–287
https://doi.org/10.23939/mmc2023.02.272
Received: September 12, 2022
Revised: February 15, 2023
Accepted: February 23, 2023

Mathematical Modeling and Computing, Vol. 10, No. 2, pp. 272–287 (2023)

Authors:
  1. M. V. Tokarchuk
1
Lviv Polytechnic National University; Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine

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 particles.  The connection of transport kernel with generalized diffusion coefficients, friction in the space of coordinates and momentum and the potential part of the thermal conductivity coefficient is established.

non-Markov equations
the method of nonequilibrium statistical operator
entropy
partition function of the non-equilibrium state
transport nuclei
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