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This article is cited in 6 scientific papers (total in 6 papers)
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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Theoretical and Mathematical Physics, 1974, 21:3, 1234–1243
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Received: 25.02.1974
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
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\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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http://mi.mathnet.ru/eng/tmf3908 http://mi.mathnet.ru/eng/tmf/v21/i3/p402
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This publication is cited in the following articles:
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S. V. Tishchenko, “Construction of generalized hydrodynamics by the nonequilibrium statistical operator method”, Theoret. and Math. Phys., 26:1 (1976), 62–69
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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
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V. P. Kalashnikov, “Linear relaxation equations in the nonequilibrium statistical operator method”, Theoret. and Math. Phys., 34:3 (1978), 263–272
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V. B. Nemtsov, “Statistical theory of the hydrodynamic and relaxation processes in smectic liquid crystals”, Theoret. and Math. Phys., 56:1 (1983), 691–701
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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
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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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