Generalized kinetic equations for dense gases and liquids in the Zubarev nonequilibrium statistical operator method and Renyi statistics

Kostrobij, P.; Viznovych, O.; Markiv, B.; Токарчук, М. В.

doi:10.1007/s11232-015-0314-y

Cited by 5 publications

(2 citation statements)

References 60 publications

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“…A whole series of works is dedicated to problems and approaches to the agreed description of kinetic and hydrodynamic processes in dense gases, liquids, and plasma [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. In [7], it is justified the necessity and the possibility of a single description of kinetic and hydrodynamic processes in gases for values of the Knudsen number of the order of unity.…”

Section: Introductionmentioning

confidence: 99%

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

Токарчук¹

2023

Math. Model. Comput.

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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 nuclei is revealed in detail with the selection of short-range and long-range contributions of interactions between particles. The connection of transport nuclei with generalized diffusion coefficients, friction in the space of coordinates and momentum and the potential part of the thermal conductivity coefficient is established.

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Section: Introductionmentioning

confidence: 99%

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

Токарчук¹

2023

Math. Model. Comput.

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“…the convective term and diffusion are almost identical due to the low velocity of moisture transfer). This fact opens a widespread use of colloid adsorbents in purification processes [9,10]. Thus, the next mathematical model is presented for the first time and take into account a wide range of factors.…”

Section: Introductionmentioning

confidence: 99%

About Two-dimensional Mathematical Model of Contaminant Migration in Unsaturated Catalytic Porous Media with Traps

Vlasyuk

Zhukovskyy²,

Zhukovska

et al. 2020

MCIT

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This paper proposes an approach for the computer simulation of complex physical problem of contaminant migration through unsaturated catalytic porous media to the filter-trap. The corresponding mathematical model in the two-dimensional nonlinear case is presented. The model includes detailed considerations of the moisture transfer of saline solutions under the generalized Darcy’s and Cluta’s laws in different subregions of soil. The numerical solution of the boundary value problem was found by the finite difference method and proposed the algorithm for computer implementation. The proposed algorithm may be used for creating software with effective risk assessment strategies and predicting the cleaning and further useful use of the soil massifs.

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Zubarev’s Nonequilibrium Statistical Operator Method in the Generalized Statistics of Multiparticle Systems

Glushak

Markiv²,

Токарчук

2018

Theor Math Phys

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Generalized kinetic equations for dense gases and liquids in the Zubarev nonequilibrium statistical operator method and Renyi statistics

Cited by 5 publications

References 60 publications

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

About Two-dimensional Mathematical Model of Contaminant Migration in Unsaturated Catalytic Porous Media with Traps

Zubarev’s Nonequilibrium Statistical Operator Method in the Generalized Statistics of Multiparticle Systems

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