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Teoreticheskaya i Matematicheskaya Fizika, 1989, Volume 80, Number 1, Pages 118–137 (Mi tmf5123)  
This article is cited in 10 scientific papers (total in 10 papers)

Construction of classical systems of equations and macroscopic asymptotics for the equilibium correlation and Green's functions by means of the nonequilibrium statistical operator method

G. O. Balabanyan
Full-text PDF (2110 kB) Citations (10)
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Abstract: In the framework of the NSO method for classical systems a general scheme is suggested for deriving linearised equations for macroscopic variables describing nonequilibrium states and also equations for the equilibrium correlation and Poisson Green functions. Arguments are given showing that the damping of equilibrium fluctuations is due to the linearised equations describing the evolution to equilibrium of corresponding macroscopic variables. A simple and general method is suggested for constructing macroscopic asymptotics for the equilibrium correlation and Poisson Green functions.
Received: 31.03.1988
English version:
Theoretical and Mathematical Physics, 1989, Volume 80, Issue 1, Pages 753–766
DOI: https://doi.org/10.1007/BF01015314
Bibliographic databases:
Language: Russian
Citation: G. O. Balabanyan, “Construction of classical systems of equations and macroscopic asymptotics for the equilibium correlation and Green's functions by means of the nonequilibrium statistical operator method”, TMF, 80:1 (1989), 118–137; Theoret. and Math. Phys., 80:1 (1989), 753–766
Citation in format AMSBIB
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\by G.~O.~Balabanyan
\paper Construction of~classical systems of~equations and macroscopic asymptotics for the equilibium correlation and Green's functions by~means of~the nonequilibrium statistical operator method
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\yr 1989
\vol 80
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\pages 118--137
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1018557}
\transl
\jour Theoret. and Math. Phys.
\yr 1989
\vol 80
\issue 1
\pages 753--766
\crossref{https://doi.org/10.1007/BF01015314}
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Linking options:
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  • https://www.mathnet.ru/eng/tmf/v80/i1/p118
    • This publication is cited in the following 10 articles:
    1. G. O. Balabanyan, “Classical equilibrium generalized hydrodynamic correlation Green's functions. IV”, Theoret. and Math. Phys., 86:3 (1991), 317–326  mathnet  crossref  mathscinet  zmath  isi
    2. G. O. Balabanyan, “Construction of equations for classical equilibrium correlation Green's functions on the basis of kinetic equations. I”, Theoret. and Math. Phys., 88:2 (1991), 833–848  mathnet  crossref  mathscinet  isi
    3. G. O. Balabanyan, “Construction of equations for classical equilibrium correlation Green's functions on the basis of kinetic equations. II”, Theoret. and Math. Phys., 89:1 (1991), 1106–1119  mathnet  crossref  mathscinet  isi
    4. G. O. Balabanyan, “Classical equilibrium generalized hydrodynamic correlation Green's functions for a system of hard balls with weak interaction”, Theoret. and Math. Phys., 89:3 (1991), 1329–1342  mathnet  crossref  mathscinet  zmath  isi
    5. G. O. Balabanyan, “On the problem of the ergodic constant in the theory of classical Green's functions”, Theoret. and Math. Phys., 84:3 (1990), 996–1006  mathnet  crossref  mathscinet  isi
    6. G. O. Balabanyan, “Classical equilibrium generalized hydrodynamic correlation Green's functions. II. Transverse autocorrelation Green's function”, Theoret. and Math. Phys., 83:2 (1990), 557–563  mathnet  crossref  mathscinet  zmath  isi
    7. G. O. Balabanyan, “Classical equilibrium generalized hydrodynamic correlation Green's functions. I”, Theoret. and Math. Phys., 82:3 (1990), 317–328  mathnet  crossref  mathscinet  zmath  isi
    8. G. O. Balabanyan, “Construction of hydrodynamic asymptotics of the classical equilibrium correlation Green's functions by means of the Boltzmann equation”, Theoret. and Math. Phys., 82:1 (1990), 81–91  mathnet  crossref  mathscinet  zmath  isi
    9. G. O. Balabanyan, “Construction of generalized hydrodynamic asymptotics for classical equilibrium correlation Green's functions on the basis of a Boltzmann kinetic equation”, Theoret. and Math. Phys., 82:2 (1990), 200–212  mathnet  crossref  mathscinet  zmath  isi
    10. G. O. Balabanyan, “Construction of linear response theory for classical systems by the nonequilibrium statistical operator method”, Theoret. and Math. Phys., 80:3 (1989), 992–997  mathnet  crossref  mathscinet  isi
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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