Geodesic
Statistical irreversible thermodynamics in the~framework of Zubarev's nonequilibrium statistical operator method
Teoretičeskaâ i matematičeskaâ fizika, Tome 194 (2018) no. 1, pp. 7-38

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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.
Keywords: irreversible thermodynamics, information theory, statistical mechanics. 
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     title = {Statistical irreversible thermodynamics in the~framework of {Zubarev's} nonequilibrium statistical operator method},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2018_194_1_a1/}
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R. Luzzi; A. R. Vasconcellos; J. G. Ramos; C. G. Rodrigues. Statistical irreversible thermodynamics in the~framework of Zubarev's nonequilibrium statistical operator method. Teoretičeskaâ i matematičeskaâ fizika, Tome 194 (2018) no. 1, pp. 7-38. http://geodesic.mathdoc.fr/item/TMF_2018_194_1_a1/