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

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Teoreticheskaya i Matematicheskaya Fizika, 1974, Volume 21, Number 3, Pages 402–414 (Mi tmf3908)

This article is cited in 12 scientific papers (total in 12 papers)

Generalized transport equations in the theory of irreversible processes

M. V. Sergeev

Full-text PDF (1396 kB) Citations (12)

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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.

Received: 25.02.1974

English version:
Theoretical and Mathematical Physics, 1974, Volume 21, Issue 3, Pages 1234–1243
DOI: https://doi.org/10.1007/BF01038102

Bibliographic databases:

Language: Russian

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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\paper Generalized transport equations in the theory of irreversible processes

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\pages 402--414

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\mathscinet{http://mathscinet.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}

Linking options:

https://www.mathnet.ru/eng/tmf3908

https://www.mathnet.ru/eng/tmf/v21/i3/p402

This publication is cited in the following 12 articles:

Vladimir V. Uchaikin, Nonlinear Physical Science, Fractional Derivatives for Physicists and Engineers, 2013, 3
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
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
V. B. Nemtsov, “Statistical theory of the hydrodynamic and relaxation processes in smectic liquid crystals”, Theoret. and Math. Phys., 56:1 (1983), 691–701
G. L. Bukhbinder, “Generalized hydrodynamics of a dielectric crystal”, Soviet Physics Journal, 26:6 (1983), 513
Aurea R. Vasconcellos, Roberto Luzzi, “Coupled electron-hole plasma-phonon system in far-from-equilibrium semiconductors”, Phys. Rev. B, 22:12 (1980), 6355
Roberto Luzzi, Aurea R. Vasconcellos, “Response function theory for far-from-equilibrium statistical systems”, J Stat Phys, 23:5 (1980), 539
D. N. Zubarev, “Contemporary methods of the statistical theory of nonequilibrium processes”, J. Soviet Math., 16:6 (1981), 1509–1571
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
V. P. Kalashnikov, “Linear relaxation equations in the nonequilibrium statistical operator method”, Theoret. and Math. Phys., 34:3 (1978), 263–272
V.B. Nemtsov, “Statistical hydrodynamics of cholesteric liquid crystals”, Physica A: Statistical Mechanics and its Applications, 86:3 (1977), 513
S. V. Tishchenko, “Construction of generalized hydrodynamics by the nonequilibrium statistical operator method”, Theoret. and Math. Phys., 26:1 (1976), 62–69

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	124
References:	36
First page:	1

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