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TMF, 2015, Volume 184, Number 1, Pages 145–159 (Mi tmf8811)  

This article is cited in 1 scientific paper (total in 1 paper)

Generalized kinetic equations for dense gases and liquids in the Zubarev nonequilibrium statistical operator method and Renyi statistics

P. P. Kostrobiia, A. V. Viznovycha, B. B. Markivb, M. V. Tokarchukba

a Lviv Polytechnic National University, Lviv, Ukraine
b Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, Lviv, Ukraine

Abstract: To describe kinetic processes in gases and liquids far from equilibrium, we obtain the nonequilibrium statistical operator (NSO) and the generalized kinetic equations for the nonequilibrium one- and two-particle distribution functions based on the Zubarev NSO method and the maximum entropy principle for the Renyi entropy. We consider a $q$-generalization of the Liouville equation and obtain its general solution using the NSO method.

Keywords: Renyi entropy, nonequilibrium statistical operator, generalized kinetic equation

DOI: https://doi.org/10.4213/tmf8811

Full text: PDF file (418 kB)
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English version:
Theoretical and Mathematical Physics, 2015, 184:1, 1020–1032

Bibliographic databases:

Received: 29.10.2014

Citation: P. P. Kostrobii, A. V. Viznovych, B. B. Markiv, M. V. Tokarchuk, “Generalized kinetic equations for dense gases and liquids in the Zubarev nonequilibrium statistical operator method and Renyi statistics”, TMF, 184:1 (2015), 145–159; Theoret. and Math. Phys., 184:1 (2015), 1020–1032

Citation in format AMSBIB
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\paper Generalized kinetic equations for dense gases and liquids in the~Zubarev nonequilibrium statistical operator method and Renyi statistics
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\pages 1020--1032
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  • http://mi.mathnet.ru/eng/tmf/v184/i1/p145

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. P. A. Glushak, B. B. Markiv, M. V. Tokarchuk, “Zubarev's nonequilibrium statistical operator method in the generalized statistics of multiparticle systems”, Theoret. and Math. Phys., 194:1 (2018), 57–73  mathnet  crossref  crossref  adsnasa  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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