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 TMF, 1999, Volume 118, Number 1, Pages 105–125 (Mi tmf689)

Two-time temperature Green's functions in kinetic theory and molecular hydrodynamics: I. The chain of equations for the irreducible functions

Yu. A. Tserkovnikov

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: We develop a scheme for constructing chains of equations for the irreducible Green's functions. The structure of the equations allows going beyond the usual perturbation theory in solving specific problems. We obtain general relations that allow any correlation function to be expressed through solutions of an infinite chain of equations for the irreducible functions.

DOI: https://doi.org/10.4213/tmf689

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English version:
Theoretical and Mathematical Physics, 1999, 118:1, 85–100

Bibliographic databases:

Citation: Yu. A. Tserkovnikov, “Two-time temperature Green's functions in kinetic theory and molecular hydrodynamics: I. The chain of equations for the irreducible functions”, TMF, 118:1 (1999), 105–125; Theoret. and Math. Phys., 118:1 (1999), 85–100

Citation in format AMSBIB
\Bibitem{Tse99} \by Yu.~A.~Tserkovnikov \paper Two-time temperature Green's functions in kinetic theory and molecular hydrodynamics: I. The chain of equations for the irreducible functions \jour TMF \yr 1999 \vol 118 \issue 1 \pages 105--125 \mathnet{http://mi.mathnet.ru/tmf689} \crossref{https://doi.org/10.4213/tmf689} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1702832} \zmath{https://zbmath.org/?q=an:0942.82026} \transl \jour Theoret. and Math. Phys. \yr 1999 \vol 118 \issue 1 \pages 85--100 \crossref{https://doi.org/10.1007/BF02557198} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000079262300008} 

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• https://doi.org/10.4213/tmf689
• http://mi.mathnet.ru/eng/tmf/v118/i1/p105

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This publication is cited in the following articles:
1. Yu. A. Tserkovnikov, “Two-time temperature Green's functions in kinetic theory and molecular hydrodynamics: II. Equations for pair-interaction systems”, Theoret. and Math. Phys., 119:1 (1999), 511–531
2. Yu. A. Tserkovnikov, “A Chain of Equations for Two-Time Irreducible Green Functions in Molecular Hydrodynamics”, Proc. Steklov Inst. Math., 228 (2000), 274–285
3. Yu. A. Tserkovnikov, “Two-Time Temperature Green's Functions in Kinetic Theory and Molecular Hydrodynamics: III. Taking the Interaction of Hydrodynamic Fluctuations into Account”, Theoret. and Math. Phys., 129:3 (2001), 1669–1693
4. 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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6. White A.J., Ochoa M.A., Galperin M., “Nonequilibrium Atomic Limit For Transport and Optical Response of Molecular Junctions”, J. Phys. Chem. C, 118:21 (2014), 11159–11173
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8. Fan P., Tong N.-H., “Controllable Precision of the Projective Truncation Approximation For Green'S Functions”, Chin. Phys. B, 28:4 (2019), 047102
9. Gorski G., Kucab K., “Influence of Assisted Hopping Interaction on the Linear Conductance of Quantum Dot”, Physica E, 111 (2019), 190–200
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