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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TMF_2015_184_1_a9,
     author = {P. P. Kostrobii and A. V. Viznovych and B. B. Markiv and M. V. Tokarchuk},
     title = {Generalized kinetic equations for dense gases and liquids in {the~Zubarev} nonequilibrium statistical operator method and {Renyi} statistics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {145--159},
     publisher = {mathdoc},
     volume = {184},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_184_1_a9/}
}
TY  - JOUR
AU  - P. P. Kostrobii
AU  - A. V. Viznovych
AU  - B. B. Markiv
AU  - M. V. Tokarchuk
TI  - Generalized kinetic equations for dense gases and liquids in the~Zubarev nonequilibrium statistical operator method and Renyi statistics
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2015
SP  - 145
EP  - 159
VL  - 184
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2015_184_1_a9/
LA  - ru
ID  - TMF_2015_184_1_a9
ER  - 
%0 Journal Article
%A P. P. Kostrobii
%A A. V. Viznovych
%A B. B. Markiv
%A M. V. Tokarchuk
%T Generalized kinetic equations for dense gases and liquids in the~Zubarev nonequilibrium statistical operator method and Renyi statistics
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2015
%P 145-159
%V 184
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2015_184_1_a9/
%G ru
%F TMF_2015_184_1_a9
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/