Geodesic
Contemporary methods of the statistical theory of nonequilibrium processes
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 15 (1980), pp. 131-226

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Possible approaches to the construction of nonequilibrium equations from first principles are analyzed: the prescription of the initial state at time $t=0$ and the investigation of the asymptotics as $t\to\infty$ as well as methods of averaging over the initial times or boundary conditions in the distant past. In simple examples, a comparison is made of the methods of the projection operator and the nonequilibrium statistical operator (in two versions) of Kubo–Yokota–Nakajima, Mori, Robertson, Kawasaki–Gunton, Kadanoff–Martin, etc. 
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     author = {D. N. Zubarev},
     title = {Contemporary methods of the statistical theory of nonequilibrium processes},
     journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
     pages = {131--226},
     publisher = {mathdoc},
     volume = {15},
     year = {1980},
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     url = {http://geodesic.mathdoc.fr/item/INTD_1980_15_a2/}
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D. N. Zubarev. Contemporary methods of the statistical theory of nonequilibrium processes. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 15 (1980), pp. 131-226. http://geodesic.mathdoc.fr/item/INTD_1980_15_a2/