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

DN Zubarev, VG Morozov, IP Omelyan… - Theoretical and …, 1993 - Springer
The paper discusses one of the approaches to the kinetics and hydrodynamics of dense
gases and liquids based on modification of Bogolyubov's conditions of correlation …

Memory effects and virial corrections in nonequilibrium dense systems

K Morawetz, G Röpke - Physical Review E, 1995 - APS
A dense interacting Bose or Fermi gas is considered. Within the Kadanoff-Baym real-time
Green-function technique a generalized kinetic equation is derived in the nonequilibrium …

Nonequilibrium statistical operator method in Renyi statistics

BB Markiv, RM Tokarchuk, PP Kostrobij… - Physica A: Statistical …, 2011 - Elsevier
The generalization of the Zubarev nonequilibrium statistical operator (NSO) method for the
case of Renyi statistics is proposed when the relevant statistical operator (or distribution …

A consistent description of kinetics and hydrodynamics of systems of interacting particles by means of the nonequilibrium statistical operator method

MV Tokarchuk, IP Omelyan… - Condensed Matter …, 1998 - dspace.nbuv.gov.ua
A statistical approach to a self-consistent description of kinetic and hydrodynamic processes
in systems of interacting particles is formulated on the basis of the nonequilibrium statistical …

Enskog-Landau kinetic equation. Calculation of the transport coefficients for charged hard spheres

AE Kobryn, VG Morozov, IP Omelyan… - Physica A: Statistical …, 1996 - Elsevier
Using the charged hard sphere model as an example, the dense one-component plasma is
considered. For this model, the Enskog-Landau kinetic equation is obtained and its normal …

Consistent description of kinetics and hydrodynamics of weakly nonequilibrium processes in simple liquids

B Markiv, I Omelyan, M Tokarchuk - Journal of Statistical Physics, 2014 - Springer
The generalized transport equations for a consistent description of kinetic and hydrodynamic
processes in dense gases and liquids are considered and the intrinsic structure of the …

The modified group expansions for construction of solutions to the BBGKY hierarchy

AE Kobryn, IP Omelyan, MV Tokarchuk - Journal of statistical physics, 1998 - Springer
A solution to the BBGKY hierarchy for nonequilibrium distribution functions is obtained within
modified boundary conditions. The boundary conditions take into account explicitly both the …

Chain of kinetic equations for the distribution functions of particles in simple liquid taking into account nonlinear hydrodynamic fluctuations

P Hlushak, M Tokarchuk - Physica A: Statistical Mechanics and its …, 2016 - Elsevier
Chain of kinetic equations for non-equilibrium single, double and s-particle distribution
functions of particles is obtained taking into account nonlinear hydrodynamic fluctuations …

Zubarev's nonequilibrium statistical operator method in the generalized statistics of multiparticle systems

PA Glushak, BB Markiv, MV Tokarchuk - Theoretical and Mathematical …, 2018 - Springer
We present a generalization of Zubarev's nonequilibrium statistical operator method based
on the principle of maximum Renyi entropy. In the framework of this approach, we obtain …

Quantum transport equations for Bose systems taking into account nonlinear hydrodynamic processes

PA Hlushak, MV Tokarchuk - arXiv preprint arXiv:1301.0481, 2013 - arxiv.org
Using the method of nonequilibrium statistical operator by Zubarev, an approach is
proposed for the description of kinetics which takes into account the nonlinear hydrodynamic …