Geodesic
Equivalence of two forms of the nonequilibrium statistical operator
Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 2, pp. 299-307 
M. I. Auslender; V. P. Kalashnikov. Equivalence of two forms of the nonequilibrium statistical operator. Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 2, pp. 299-307. http://geodesic.mathdoc.fr/item/TMF_1984_58_2_a14/
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     author = {M. I. Auslender and V. P. Kalashnikov},
     title = {Equivalence of two forms of the nonequilibrium statistical operator},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_58_2_a14/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The equivalence of two variants of the nonequilibrium statistical operator method is proved: NSO-1 (canonical distribution of quasi-integrals of the motion) and NSO-2 (invariant part of the quasi-equilibrium distribution). It is shown that in the general case every solution of the NSO-2 balance equations is a solution of the NSO-1 balance equations. The proof is based on convexity inequalities and does not contain any assumptions of physical nature going beyond the original formulation of the nonequilibrium statistical operator method.

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