Geodesic
Equivalence of two forms of the nonequilibrium statistical operator
Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 2, pp. 299-307

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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. 
@article{TMF_1984_58_2_a14,
     author = {M. I. Auslender and V. P. Kalashnikov},
     title = {Equivalence of two forms of the nonequilibrium statistical operator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {299--307},
     publisher = {mathdoc},
     volume = {58},
     number = {2},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_58_2_a14/}
}
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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/