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 TMF, 1974, Volume 21, Number 3, Pages 402–414 (Mi tmf3908)

Generalized transport equations in the theory of irreversible processes

M. V. Sergeev

Abstract: Zubarev's nonequilibrium statistical operator method [1, 2] is used to study transport phenomena in a nonequilibrtum system. For the transport coefficients that depend on the frequency and wave vector, exact expressions of two types are obtained, these generalizing the Kubo formulas: in terms of a combination of time correlation functions and in terms of functions in which the evolution in time includes a certain projection operation. As an example, the hydrodynamics of a simple liquid is considered and the structure of density–density correlation functions is discussed.

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English version:
Theoretical and Mathematical Physics, 1974, 21:3, 1234–1243

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Citation: M. V. Sergeev, “Generalized transport equations in the theory of irreversible processes”, TMF, 21:3 (1974), 402–414; Theoret. and Math. Phys., 21:3 (1974), 1234–1243

Citation in format AMSBIB
\Bibitem{Ser74} \by M.~V.~Sergeev \paper Generalized transport equations in the theory of irreversible processes \jour TMF \yr 1974 \vol 21 \issue 3 \pages 402--414 \mathnet{http://mi.mathnet.ru/tmf3908} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=479221} \zmath{https://zbmath.org/?q=an:0312.76008} \transl \jour Theoret. and Math. Phys. \yr 1974 \vol 21 \issue 3 \pages 1234--1243 \crossref{https://doi.org/10.1007/BF01038102} 

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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. S. V. Tishchenko, “Construction of generalized hydrodynamics by the nonequilibrium statistical operator method”, Theoret. and Math. Phys., 26:1 (1976), 62–69
2. D. N. Zubarev, A. M. Khazanov, “Generalized Fokker–Planck equation and construction of projection operators for different methods of reduced description of nonequilibrium states”, Theoret. and Math. Phys., 34:1 (1978), 43–50
3. V. P. Kalashnikov, “Linear relaxation equations in the nonequilibrium statistical operator method”, Theoret. and Math. Phys., 34:3 (1978), 263–272
4. V. B. Nemtsov, “Statistical theory of the hydrodynamic and relaxation processes in smectic liquid crystals”, Theoret. and Math. Phys., 56:1 (1983), 691–701
5. D. N. Zubarev, V. G. Morozov, I. P. Omelyan, M. V. Tokarchuk, “Unification of the kinetic and hydrodynamic approaches in the theory of dense gases and liquids”, Theoret. and Math. Phys., 96:3 (1993), 997–1012
6. B. B. Markiv, I. P. Omelyan, M. V. Tokarchuk, “Nonequilibrium statistical operator in the generalized molecular hydrodynamics of fluids”, Theoret. and Math. Phys., 154:1 (2008), 75–84
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