Geodesic
Generalized kinetic equations for dense gases and liquids in the Zubarev nonequilibrium statistical operator method and Renyi statistics
Teoretičeskaâ i matematičeskaâ fizika, Tome 184 (2015) no. 1, pp. 145-159

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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. 
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. Teoretičeskaâ i matematičeskaâ fizika, Tome 184 (2015) no. 1, pp. 145-159. http://geodesic.mathdoc.fr/item/TMF_2015_184_1_a9/
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