This article is cited in 18 papers

Statistical irreversible thermodynamics in the framework of Zubarev's nonequilibrium statistical operator method

R. Luzzi^a, A. R. Vasconcellos^a, J. G. Ramos^a, C. G. Rodrigues<sup>b

a</sup> Department of Condensed Matter Physics, Institute of Physics "Gleb Wataghin", State University of Campinas (UNICAMP), Campinas, Brazil
^b Escola de Ciências Exatas e da Computação, Pontifícia Universidade Católica de Goiás, Goiánia, Goiás, Brazil

Abstract: 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.

PACS: 67.10.Jn; 05.70.Ln; 68.65.-k; 81.05.Ea

Received: 01.03.2017
Revised: 27.03.2017

DOI: 10.4213/tmf9362

 English version: Theoretical and Mathematical Physics, 2018, 194:1, 4–29

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