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

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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 118, Number 1, Pages 105–125
DOI: https://doi.org/10.4213/tmf689 (Mi tmf689)

This article is cited in 13 scientific papers (total in 13 papers)

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

Full-text PDF (291 kB) Citations (13)

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

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.

Received: 11.06.1998

English version:
Theoretical and Mathematical Physics, 1999, Volume 118, Issue 1, Pages 85–100
DOI: https://doi.org/10.1007/BF02557198

Bibliographic databases:

Document Type: Article

Language: Russian

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

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\jour Theoret. and Math. Phys.

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Linking options:

https://www.mathnet.ru/eng/tmf689

https://doi.org/10.4213/tmf689

https://www.mathnet.ru/eng/tmf/v118/i1/p105

Cycle of papers

Two-time temperature Green's functions in kinetic theory and molecular hydrodynamics: I. The chain of equations for the irreducible functions
Yu. A. Tserkovnikov
TMF, 1999, 118:1, 105–125
Two-time temperature Green's functions in kinetic theory and molecular hydrodynamics: II. Equations for pair-interaction systems
Yu. A. Tserkovnikov
TMF, 1999, 119:1, 142–166
Two-Time Temperature Green's Functions in Kinetic Theory and Molecular Hydrodynamics: III. Taking the Interaction of Hydrodynamic Fluctuations into Account
Yu. A. Tserkovnikov
TMF, 2001, 129:3, 432–463

This publication is cited in the following 13 articles:

Hu-Wei Jia, Wen-Jun Liu, Yue-Hong Wu, Kou-Han Ma, Lei Wang, Ning-Hua Tong, “Thermal broadening of the phonon spectral function in classical lattice models: Projective truncation approximation”, Phys. Rev. B, 111:4 (2025)
Kou-Han Ma, Yan-Jiang Guo, Lei Wang, Ning-Hua Tong, “Projective-truncation-approximation study of the one-dimensionalϕ4lattice model”, Phys. Rev. E, 106:1 (2022)
Ma K.-H., Tong N.-H., “Interacting Spinless Fermions on the Square Lattice: Charge Order, Phase Separation, and Superconductivity”, Phys. Rev. B, 104:15 (2021), 155116
Fan P., Tong N.-H., “Controllable Precision of the Projective Truncation Approximation For Green'S Functions”, Chin. Phys. B, 28:4 (2019), 047102
Gorski G., Kucab K., “Influence of Assisted Hopping Interaction on the Linear Conductance of Quantum Dot”, Physica E, 111 (2019), 190–200
Ma K.-H., Tong N.-H., “Improved Strong-Coupling Perturbation Theory of the Symmetric Anderson Impurity Model”, Mod. Phys. Lett. B, 33:27 (2019), 1950332
Fan P., Yang K., Ma K.-H., Tong N.-H., “Projective Truncation Approximation For Equations of Motion of Two-Time Green'S Functions”, Phys. Rev. B, 97:16 (2018), 165140
Ochoa M.A. Galperin M. Ratner M.A., “A Non-Equilibrium Equation-of-Motion Approach To Quantum Transport Utilizing Projection Operators”, J. Phys.-Condes. Matter, 26:45 (2014), 455301
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
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
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
Yu. A. Tserkovnikov, “A Chain of Equations for Two-Time Irreducible Green Functions in Molecular Hydrodynamics”, Proc. Steklov Inst. Math., 228 (2000), 274–285
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

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

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