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Asymptotic behavior of Green's functions and correlation functions in the statistical theory of nonequilibrium processes

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Literature Cited

  1. D. N. Zubarev Nonequilibrium Statistical Thermodynamics, Plenum, New York (1974).

    Google Scholar 

  2. A. I. Akhiezer and S. V. Peletminskii, Methods of Statistical Physics [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  3. N. N. Bogolyubov, “On the hydrodynamics of a superfluid,” Preprint R-1395 [in Russian], JINR, Dubna (1963).

    Google Scholar 

  4. L. P. Kadanoff and P. C. Martin, “Hydrodynamic equations and correlation functions,” Ann. Phys. (N.Y.)24 419 (1963).

    Google Scholar 

  5. Z. Galasiewicz, Superconductivity and Quantum Fluids, Polish Scientific Publishers, Warsaw (1970).

    Google Scholar 

  6. Z. Galasiewicz. “Hydrodynamical equations for the superfluid Fermi liquid and two particle Green's function,” Phys. Lett.,15, 39 (1965).

    Google Scholar 

  7. V. A. Krasnikov, “Hydrodynamic approximation for the Green's functions in a superfluid Bose system,” Dokl. Akad. Nauk SSSR,174, 1037 (1967).

    Google Scholar 

  8. Z. Petru, “Green's functions for the Bose superfluid and the relations between kinetical coefficients,” Acta Phys. Pol.,35, 49 (1969).

    Google Scholar 

  9. F. S. Dzheparov and V. A. Krasnikov, “Hydrodynamic equations and Green's functions,” Teor. Mat. Fiz.,14, 82 (1973)

    Google Scholar 

  10. A. Szprynger, “Microscopic theory of He II-He3 mixtures including dissipative processes. I. Derivation of hydrodynamic equations,” Z. Phys. B,22, 79 (1975).

    Google Scholar 

  11. P. S. Martin, “Nonlocal transport coefficients and correlation functions in statistical mechanics of equilibrium and nonequilibrium,” in: Proc. Int. Sympos. Aachen (ed. J. Meixner) (1965), p. 100.

  12. P. C. Hohenberg and P. C. Martin, “Microscopic theory of superfluid helium,” Ann. Phys. (N.Y.),34, 291 (1965).

    Google Scholar 

  13. B. I. Halperin and P. C. Hohenberg, “Hydrodynamic theory of spin waves,” Phys. Rev.,188, 898 (1969).

    Google Scholar 

  14. D. N. Zubarev, “Boundary conditions for statistical operators in the theory of nonequilibrium processes and quasi-averages,” Teor. Mat. Fiz.,3, 276 (1970).

    Google Scholar 

  15. K. Miyake and K. Yamada, “Dynamics of Bose-Einstein condensate and two-fluid hydrodynamics,” Prog. Theor. Phys.,56, 1689 (1976).

    Google Scholar 

  16. V. G. Morozov, “Hydrodynamic equations and transport coefficients of a Bose superfluid,” Teor. Mat. Fiz.,28, 267 (1976).

    Google Scholar 

  17. K. Kawasaki and J. D. Gunton, “Theory of nonlinear shear viscosity and normal stress effects,” Phys. Rev. A,8, 2048 (1973).

    Google Scholar 

  18. H. Mori, “Transport, collective motion and Brownian motion,” Prog. Theor. Phys.,33, 423 (1965).

    Google Scholar 

  19. B. Robertson, “Equation of motion in nonequilibrium statistical mechanics,” Phys. Rev.,144, 151 (1966).

    Google Scholar 

  20. S. V. Tishchenko, “Construction of generalized hydrodynamics by the nonequilibrium statistical operator method,” Teor. Mat. Fiz.,26, 96 (1976).

    Google Scholar 

  21. V. P. Kalashnikov, “Linear relaxation equations in the nonequilibrium statistical operator method.” Teor. Mat. Fiz.,34, 412 (1978).

    Google Scholar 

  22. K. Kawasaki, “Dynamical theory of fluctuations near the critical point,” in: Critical Phenomena, Proc. Int. School Phys. Enrico Fermi, Course 51, Academic Press, New York (1971).

    Google Scholar 

  23. D. N. Zubarev and A. M. Khazanov, “Generalized Fokker-Planck equation and the construction of projection operators for various methods of reduced description,” Teor. Mat. Fiz.,34, 69 (1978).

    Google Scholar 

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Institute of Civil Aviation Engineers, Moscow. Translated from Teoreticheskaya i Matematicheskaya Fizika. Vol. 47, No. 3, pp. 407–418, June, 1981.

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Morozov, V.G. Asymptotic behavior of Green's functions and correlation functions in the statistical theory of nonequilibrium processes. Theor Math Phys 47, 547–555 (1981). https://doi.org/10.1007/BF01019306

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