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

Authors :
B. Markiv
O. Viznovych
P. P. Kostrobij
M. V. Tokarchuk
Source :
Theoretical and Mathematical Physics. 184:1020-1032
Publication Year :
2015
Publisher :
Springer Science and Business Media LLC, 2015.

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.

Details

ISSN :
15739333 and 00405779
Volume :
184
Database :
OpenAIRE
Journal :
Theoretical and Mathematical Physics
Accession number :
edsair.doi...........173953813383d34e0471a3cc5e95996a
Full Text :
https://doi.org/10.1007/s11232-015-0314-y