Статистичне описання нерівноважних багаточастинкових систем

In most cases, the systems of interacting particles are non-equilibrium. In this review, a new approach based on the application of a non-equilibrium statistical operator is presented, which allows the inhomogeneous distributions of the particles and the temperature to be taken into account. The met...

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Bibliographic Details
Date:2020
Main Authors: Lev, B.I., Zagorodny, A.G.
Format: Article
Language:English
Ukrainian
Published: Publishing house "Academperiodika" 2020
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Online Access:https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2020142
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Journal Title:Ukrainian Journal of Physics

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Ukrainian Journal of Physics
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Summary:In most cases, the systems of interacting particles are non-equilibrium. In this review, a new approach based on the application of a non-equilibrium statistical operator is presented, which allows the inhomogeneous distributions of the particles and the temperature to be taken into account. The method uses the saddle-point procedure to find dominant contributions to the partition function of the system and enables all of its thermodynamic parameters to be determined. Probable peculiarities in the behavior of the systems with interaction – such as gravitational systems, systems with Coulombic repulsion, and so forth – under various thermodynamic conditions are predicted. A new approach is proposed to describe non-equilibrium systems in the energy space, which is an extension of the Gibbs approach to macroscopic systems under non-equilibrium conditions. It allows the stationary states and the dynamics of non-equilibrium systems to be described.