Statistical Irreversible Thermodynamics in the Framework of Zubarev’s Nonequilibrium Statistical Operator Method

We describe the formalism of statistical irreversible thermodynamics constructed based on Zubarev’s nonequilibrium statistical operator (NSO) method, which is a powerful and universal tool for investigating the most varied physical phenomena. We present brief overviews of the statistical ensemble fo...

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Bibliographic Details
Published in:Theoretical and mathematical physics Vol. 194; no. 1; pp. 4 - 29
Main Authors: Luzzi, R., Vasconcellos, A. R., Ramos, J. G., Rodrigues, C. G.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01.01.2018
Springer Nature B.V
Subjects:
Applications of Mathematics
Formalism
Heuristic methods
Information theory
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
Thermodynamics
irreversible thermodynamics
information theory
statistical mechanics
ISSN:0040-5779, 1573-9333
Online Access:Get full text
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Summary:We describe the formalism of statistical irreversible thermodynamics constructed based on Zubarev’s nonequilibrium statistical operator (NSO) method, which is a powerful and universal tool for investigating the most varied physical phenomena. We present brief overviews of the statistical ensemble formalism and statistical irreversible thermodynamics. The first can be constructed either based on a heuristic approach or in the framework of information theory in the Jeffreys-Jaynes scheme of scientific inference; Zubarev and his school used both approaches in formulating the NSO method. We describe the main characteristics of statistical irreversible thermodynamics and discuss some particular considerations of several authors. We briefly describe how Rosenfeld, Bohr, and Prigogine proposed to derive a thermodynamic uncertainty principle.
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ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577918010038