Abstract:
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→∞ 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.
Citation:
D. N. Zubarev, “Contemporary methods of the statistical theory of nonequilibrium processes”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 15, VINITI, Moscow, 1980, 131–226; J. Soviet Math., 16:6 (1981), 1509–1571
\Bibitem{Zub80}
\by D.~N.~Zubarev
\paper Contemporary methods of the statistical theory of nonequilibrium processes
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat.
\yr 1980
\vol 15
\pages 131--226
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd43}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=578992}
\zmath{https://zbmath.org/?q=an:0441.60099}
\transl
\jour J. Soviet Math.
\yr 1981
\vol 16
\issue 6
\pages 1509--1571
\crossref{https://doi.org/10.1007/BF01091712}
Linking options:
https://www.mathnet.ru/eng/intd43
https://www.mathnet.ru/eng/intd/v15/p131
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