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TMF, 2018, Volume 194, Number 1, Pages 7–38 (Mi tmf9362)  

This article is cited in 3 scientific papers (total in 3 papers)

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

R. Luzzia, A. R. Vasconcellosa, J. G. Ramosa, C. G. Rodriguesb

a 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.

Funding Agency Grant Number
Fundação de Amparo à Pesquisa do Estado de São Paulo
FAPEG - Fundação de Amparo á Pesquisa do Estado de Goiás
This research was supported in part by the São Paulo State Research Agency (FAPESP) and the Goiás State Research Agency (FAPEG).


DOI: https://doi.org/10.4213/tmf9362

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

Bibliographic databases:

PACS: 67.10.Jn; 05.70.Ln; 68.65.-k; 81.05.Ea
Received: 01.03.2017
Revised: 27.03.2017

Citation: R. Luzzi, A. R. Vasconcellos, J. G. Ramos, C. G. Rodrigues, “Statistical irreversible thermodynamics in the framework of Zubarev's nonequilibrium statistical operator method”, TMF, 194:1 (2018), 7–38; Theoret. and Math. Phys., 194:1 (2018), 4–29

Citation in format AMSBIB
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\paper Statistical irreversible thermodynamics in the~framework of Zubarev's nonequilibrium statistical operator method
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\vol 194
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\pages 7--38
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. G. Röpke, “Electrical conductivity of charged particle systems and Zubarev's nonequilibrium statistical operator method”, Theoret. and Math. Phys., 194:1 (2018), 74–104  mathnet  crossref  crossref  adsnasa  isi  elib
    2. Ramos J.G., Rodrigues C.G., Silva C.A.B., Luzzi R., “Statistical Mesoscopic Hydro-Thermodynamics: the Description of Kinetics and Hydrodynamics of Nonequilibrium Processes in Single Liquids”, Braz. J. Phys., 49:2 (2019), 277–287  crossref  isi  scopus
    3. Vasconcelos J.L. Rodrigues C.G. Luzzi R., “Study of Electron Transport in 4H-Sic By Using Nonequilibrium Statistical Ensemble Formalism”, Braz. J. Phys., 49:4 (2019), 494–501  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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