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  4. To the kinetic theory of dense gases and liquids. Calculation of quasi-equilibrium particle distribution functions by the method of collective variables

To the kinetic theory of dense gases and liquids. Calculation of quasi-equilibrium particle distribution functions by the method of collective variables

MMC.
2022;
Volume 9, Number 2
: pp. 440–458
https://doi.org/10.23939/mmc2022.02.440
Received: March 01, 2022
Revised: May 09, 2022
Accepted: May 15, 2022

Mathematical Modeling and Computing, Vol. 9, No. 2, pp. 440–458 (2022)

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

Based on a chain of BBGKI equations with a modified boundary condition that takes into account multiparticle correlations, kinetic equations in the approximate "pairs" collisions and in the polarization approximation, taking into account the interaction through the third particle, obtained.  The specifics of the model representation of the pair potential of particle interaction through short-range and long-range parts were taken into account.  In the case of the short-range potential in the form of the potential of solid spheres, the contribution of Enskog's revised theory to the complete integration of the collision of the kinetic equation is obtained.  The collision integrals include paired quasi-equilibrium distribution functions that depend on the nonequilibrium mean values of the particle number density and the inverse temperature.  The method of collective variables Yukhnovskii is applied for the calculation of pair quasi-equilibrium distribution function with an allocation of short-range and long-range parts in the potential of the interaction of particles.  In this case, the system with short-range interaction is considered as a frame of reference.

kinetic equations
non-equilibrium statistical operator
distribution function
simple fluid
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