D. N. Zubarev, V. G. Morozov, I. P. Omelyan, M. V. Tokarchuk, “Kinetic equations for dense gases and liquids”, TMF, 87:1 (1991), 113–129; Theoret. and Math. Phys., 87:1 (1991), 412

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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 87, Number 1, Pages 113–129 (Mi tmf5475)

This article is cited in 23 scientific papers (total in 23 papers)

Kinetic equations for dense gases and liquids

D. N. Zubarev, V. G. Morozov, I. P. Omelyan, M. V. Tokarchuk

Full-text PDF (1850 kB) Citations (23)

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Abstract: The kinetic equation of the revised Enskog theory for the system of hard spheres is derived in the framework of the nonequilibrium statistical operator method from the Liouville equation with a modified boundary condition that takes into account the correlations associated with the local conservation laws. It is shown that the kinetic equation corresponds to the approximation of “pair collisions” without retardation in time. A generalized Enskog–Landau kinetic equation for a singlecomponent system of charged hard spheres is derived. Its normal solutions and analytic expressions for the transport coefficients are obtained.

Received: 18.06.1990

English version:
Theoretical and Mathematical Physics, 1991, Volume 87, Issue 1, Pages 412–424
DOI: https://doi.org/10.1007/BF01016582

Bibliographic databases:

Language: Russian

Citation: D. N. Zubarev, V. G. Morozov, I. P. Omelyan, M. V. Tokarchuk, “Kinetic equations for dense gases and liquids”, TMF, 87:1 (1991), 113–129; Theoret. and Math. Phys., 87:1 (1991), 412–424

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf5475

https://www.mathnet.ru/eng/tmf/v87/i1/p113

This publication is cited in the following 23 articles:

M. V. Tokarchuk, “Kinetic coefficients of ion transport in a porous medium based on the Enskog–Landau kinetic equation”, Math. Model. Comput., 11:4 (2024), 1013
M. V. Tokarchuk, “Unification of kinetic and hydrodynamic approaches in the theory of dense gases and liquids far from equilibrium”, Math. Model. Comput., 10:2 (2023), 272
M. V. Tokarchuk, “To the kinetic theory of dense gases and liquids. Calculation of quasi-equilibrium particle distribution functions by the method of collective variables”, Math. Model. Comput., 9:2 (2022), 440
I.R. Yukhnovskii, M.V. Tokarchuk, P.A. Hlushak, “Metod kolektivnikh zmіnnikh v teorіï nelіnіinikh fluktuatsіi z urakhuvannyam kіnetichnikh protsesіv”, Ukr. J. Phys., 67:8 (2022), 579
M. V. Tokarchuk, “Kinetic description of ion transport in the system “ionic solution – porous environment””, Math. Model. Comput., 9:3 (2022), 719
P. A. Glushak, B. B. Markiv, M. V. Tokarchuk, “Zubarev's nonequilibrium statistical operator method in the generalized statistics of multiparticle systems”, Theoret. and Math. Phys., 194:1 (2018), 57–73
Mykhailo Tokarchuk, Petro Hlushak, “Unification of Thermo Field Kinetic and Hydrodynamics Approaches in the Theory of Dense Quantum–Field Systems”, Particles, 2:1 (2018), 1
Hlushak P. Tokarchuk M., “Chain of Kinetic Equations For the Distribution Functions of Particles in Simple Liquid Taking Into Account Nonlinear Hydrodynamic Fluctuations”, Physica A, 443 (2016), 231–245
Yukhnovskii I.R. Hlushak P.A. Tokarchuk M.V., “BBGKY chain of kinetic equations, non-equilibrium statistical operator method and collective variable method in the statistical theory of non-equilibrium liquids”, Condens. Matter Phys., 19:4 (2016), 43705
A. S. Trushechkin, “Microscopic solutions of kinetic equations and the irreversibility problem”, Proc. Steklov Inst. Math., 285 (2014), 251–274
B. Markiv, I. Omelyan, M. Tokarchuk, “Consistent Description of Kinetics and Hydrodynamics of Weakly Nonequilibrium Processes in Simple Liquids”, J Stat Phys, 155:5 (2014), 843
Markiv B.B., Tokarchuk R.M., Kostrobij P.P., Tokarchuk M.V., “Nonequilibrium statistical operator method in Renyi statistics”, Physica A-Statistical Mechanics and Its Applications, 390:5 (2011), 785–791
B. B. Markiv, I. P. Omelyan, M. V. Tokarchuk, “Nonequilibrium statistical operator in the generalized molecular hydrodynamics of fluids”, Theoret. and Math. Phys., 154:1 (2008), 75–84
A.E. Kobryn, M.V. Tokarchuk, Y.A. Humenyuk, “Investigation of transfer coefficients for many-component dense systems of neutral and charged hard spheres”, Journal of Molecular Liquids, 93:1-3 (2001), 109
M. V. Tokarchuk, I. P. Omelyan, A. E. Kobryn, “Kinetic equation for liquids with a multistep potential of interaction: Calculation of transport coefficients”, Phys. Rev. E, 62:6 (2000), 8021
A.E. Kobryn, I.P. Omelyan, M.V. Tokarchuk, “Normal solution and transport coefficients to the Enskog–Landau kinetic equation for a two-component system of charged hard spheres: The Chapman–Enskog method”, Physica A: Statistical Mechanics and its Applications, 268:3-4 (1999), 607
A.E. Kobryn, V.G. Morozov, I.P. Omelyan, M.V. Tokarchuk, “Enskog-Landau kinetic equation. Calculation of the transport coefficients for charged hard spheres”, Physica A: Statistical Mechanics and its Applications, 230:1-2 (1996), 189
A.E. Kobryn, I.P. Omelyan, M.V. Tokarchuk, “Normal solution to the Enskog-Landau kinetic equation: boundary conditions method”, Physics Letters A, 223:1-2 (1996), 37
K. Morawetz, G. Roepke, “Memory effects and virial corrections in nonequilibrium dense systems”, Phys. Rev. E, 51:5 (1995), 4246
V.G. Morozov, G. Röpke, “Quantum kinetic equation for nonequilibrium dense systems”, Physica A: Statistical Mechanics and its Applications, 221:4 (1995), 511

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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