D. N. Zubarev, V. P. Kalashnikov, “Construction of statistical operators for nonequilibrium processes”, TMF, 3:1 (1970), 126–134; Theoret. and Math. Phys., 3:1 (1971), 395

Teoreticheskaya i Matematicheskaya Fizika

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor
	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

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Teoreticheskaya i Matematicheskaya Fizika, 1970, Volume 3, Number 1, Pages 126–134 (Mi tmf4097)

This article is cited in 32 scientific papers (total in 32 papers)

Construction of statistical operators for nonequilibrium processes

D. N. Zubarev, V. P. Kalashnikov

Full-text PDF (731 kB) Citations (32)

References:

PDF

HTML

Abstract: It is shown that a non-equlibrium statistical operator suitable for describing systems at intervals of time much greater then the “forgetting-time” of the original distribution can be constructed as the invariant part of the quasiequilibrium statistical operator with respect to the evolution of a sistem with a given Hamiltonian $H$. For this form of the nonequilibrium statistical operator, general expressions are obtained that relate the thermodynamic coordinates to the thermodynamic forces as well as a general expression for the entropy prodaction and the generalized kinetic equations that describe the evolution of the thermodinamic variables in time. It is shown that this method of theoretical description of nonequilibrium processes is equivalent to within second-order terms to the method of quasi-integrals of motion proposed by one of the authors [1].

Received: 28.10.1969

English version:
Theoretical and Mathematical Physics, 1971, Volume 3, Issue 1, Pages 395–401
DOI: https://doi.org/10.1007/BF01031594

Bibliographic databases:

Language: Russian

Citation: D. N. Zubarev, V. P. Kalashnikov, “Construction of statistical operators for nonequilibrium processes”, TMF, 3:1 (1970), 126–134; Theoret. and Math. Phys., 3:1 (1971), 395–401

Citation in format AMSBIB

\Bibitem{ZubKal70}

\by D.~N.~Zubarev, V.~P.~Kalashnikov

\paper Construction of statistical operators for nonequilibrium processes

\jour TMF

\yr 1970

\vol 3

\issue 1

\pages 126--134

\mathnet{http://mi.mathnet.ru/tmf4097}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=469024}

\transl

\jour Theoret. and Math. Phys.

\yr 1971

\vol 3

\issue 1

\pages 395--401

\crossref{https://doi.org/10.1007/BF01031594}

Linking options:

https://www.mathnet.ru/eng/tmf4097

https://www.mathnet.ru/eng/tmf/v3/i1/p126

This publication is cited in the following 32 articles:

A. L. Kuzemsky, “Nonequilibrium statistical operator method and generalized kinetic equations”, Theoret. and Math. Phys., 194:1 (2018), 30–56
I. I. Lyapilin, M. S. Okorokov, “Spincaloritronic in Magnetic Nanostructures”, Phys. Metals Metallogr., 119:13 (2018), 1259
Yukhnovskii I.R. Hlushak P.A. Tokarchuk M.V., “BBGKY chain of kinetic equations, non-equilibrium statistical operator method and collective variable method in the statistical theory of non-equilibrium liquids”, Condens. Matter Phys., 19:4 (2016), 43705
I. I. Lyapilin, M. S. Okorokov, V. V. Ustinov, “Spin effects induced by thermal perturbation in a normal metal/magnetic insulator system”, Phys. Rev. B, 91:19 (2015)
W A Robin, “Nonequilibrium thermodynamics”, J. Phys. A: Math. Gen., 23:11 (1990), 2065
M. I. Auslender, V. P. Kalashnikov, “Equivalence of two forms of the nonequilibrium statistical operator”, Theoret. and Math. Phys., 58:2 (1984), 196–202
D. N. Zubarev, “Theory of turbulent transport on the basis of nonequilibrium statistical thermodynamics”, Theoret. and Math. Phys., 46:1 (1981), 47–56
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
V. P. Kalashnikov, N. V. Kozhevnikov, “Dynamical behavior of two-component spin systems in an alternating magnetic field”, Theoret. and Math. Phys., 37:3 (1978), 1101–1110
R. Luzzi, L.C.M. Miranda, “Optical properties of semiconductors under intense laser fields”, Physics Reports, 43:11 (1978), 423
V. P. Vstovskii, “Macroscopic description of open dynamical systems”, Theoret. and Math. Phys., 31:3 (1977), 540–548
S. V. Tishchenko, “Construction of generalized hydrodynamics by the nonequilibrium statistical operator method”, Theoret. and Math. Phys., 26:1 (1976), 62–69
V. G. Morozov, “Equations of hydrodynamics and transport coefficients for a superfluid bose liquid”, Theoret. and Math. Phys., 28:2 (1976), 777–786
S. V. Tishchenko, “Direct proof of the equivalence of two forms of the nonequilibrium statistical operator”, Theoret. and Math. Phys., 25:3 (1975), 1218–1220
G. O. Balabanyan, A. D. Khon'kin, “Construction of generalized normal solutions of kinetic equations for a mixture of gases”, Theoret. and Math. Phys., 18:1 (1974), 92–97
G. O. Balabanyan, “Construction of kinetic equations for nonequilibrium quantum systems”, Theoret. and Math. Phys., 20:2 (1974), 802–811
R. Kh. Amirov, S. A. Smolyanskii, L. Sh. Shekhter, “On the theory of quantum kinetic processes in strong alternating fields”, Theoret. and Math. Phys., 21:2 (1974), 1116–1124
M. I. Auslender, “Quasiinvariants of the motion and existence of the $\varepsilon$-limit in the nonequilibrium statistical operator method”, Theoret. and Math. Phys., 21:3 (1974), 1198–1207
S.V. Tishchenko, V.A. Steklov, “The equivalence of the Kawasaki-Gunton non-equilibrium phase space distribution function and Zubarev's non-equilibrium statistical operator”, Physics Letters A, 50:1 (1974), 7
R. Kh. Amirov, S. A. Smolyanskii, L. Sh. Shekhter, “Derivation of kinetic equations of classical statistical mechanics in the weak-interaction approximation by the nonequilibrium statistical operator method”, Theoret. and Math. Phys., 16:1 (1973), 723–728

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

Statistics & downloads:
Abstract page:	512
Full-text PDF :	208
References:	55
First page:	1

Что такое QR-код?

Registration to the website

Logotypes