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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf8811https://doi.org/10.4213/tmf8811 https://www.mathnet.ru/eng/tmf/v184/i1/p145
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Abstract page: | 411 | Full-text PDF : | 148 | References: | 51 | First page: | 21 |
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