RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 General information Latest issue Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 TMF: Year: Volume: Issue: Page: Find

 TMF, 1976, Volume 26, Number 1, Pages 96–108 (Mi tmf3172)

Construction of generalized hydrodynamics by the nonequilibrium statistical operator method

S. V. Tishchenko

Abstract: It is shown that Zubarev's nonequilibrium statistical operator leads to a system of linear integral equations for the irreversible fluxes. A procedure is proposed for eliminating the time derivatives from the nonequilibrium statistical operator, and it enables one to go over to the transport relations for these fluxes. It is shown that the elimination of the time derivatives leads to the appearance of the Kawasaki–Gunton [7] projection operator. The example of a simple single-component fluid is discussed, and in the case of the linear approximation generalizations of the Green–Kubo expressions for the transport coefficients are obtained.

Full text: PDF file (1314 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 1976, 26:1, 62–69

Bibliographic databases:

Citation: S. V. Tishchenko, “Construction of generalized hydrodynamics by the nonequilibrium statistical operator method”, TMF, 26:1 (1976), 96–108; Theoret. and Math. Phys., 26:1 (1976), 62–69

Citation in format AMSBIB
\Bibitem{Tis76} \by S.~V.~Tishchenko \paper Construction of generalized hydrodynamics by the nonequilibrium statistical operator method \jour TMF \yr 1976 \vol 26 \issue 1 \pages 96--108 \mathnet{http://mi.mathnet.ru/tmf3172} \zmath{https://zbmath.org/?q=an:0357.76007|0411.76006} \transl \jour Theoret. and Math. Phys. \yr 1976 \vol 26 \issue 1 \pages 62--69 \crossref{https://doi.org/10.1007/BF01038257} 

• http://mi.mathnet.ru/eng/tmf3172
• http://mi.mathnet.ru/eng/tmf/v26/i1/p96

 SHARE:

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

This publication is cited in the following articles:
1. 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
2. D. N. Zubarev, A. V. Prozorkevich, S. A. Smolyanskii, “Derivation of nonlinear generalized equations of quantum relativistic hydrodynamics”, Theoret. and Math. Phys., 40:3 (1979), 821–831
3. D. N. Zubarev, “Theory of turbulent transport on the basis of nonequilibrium statistical thermodynamics”, Theoret. and Math. Phys., 46:1 (1981), 47–56
4. V. G. Morozov, “Asymptotic behavior of Green's functions and correlation functions in the statistical theory of nonequilibrium processes”, Theoret. and Math. Phys., 47:3 (1981), 547–555
5. 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
6. 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
•  Number of views: This page: 190 Full text: 55 References: 21 First page: 1