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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 184, Number 1, Pages 145–159
DOI: https://doi.org/10.4213/tmf8811 (Mi tmf8811) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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
Full-text PDF (418 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf8811
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.
Received: 29.10.2014
English version:
Theoretical and Mathematical Physics, 2015, Volume 184, Issue 1, Pages 1020–1032
DOI: https://doi.org/10.1007/s11232-015-0314-y
Bibliographic databases:
Document Type: Article
Language: Russian
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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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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