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Modern methods of the statistical theory of nonequilibrium processes

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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.

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  1. D. N. Zubarev
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki, Vol. 15, pp. 131–226,1980.

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Zubarev, D.N. Modern methods of the statistical theory of nonequilibrium processes. J Math Sci 16, 1509–1571 (1981). https://doi.org/10.1007/BF01091712

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