Abstract:
The fundamental content of Bogolyubov's concept of quasiaverages
is considered. The problem of the nonuniqueness in the choice of
the state space of a macroscopic system is investigated in the
example of the Ising model. The basic methods of quasiaveraging
are discussed. The microscopic description of heterophase states
using the concept of quasiaverages is considered.
Citation:
N. N. Bogolyubov (Jr.), A. S. Shumovskii, V. I. Yukalov, “The concept of quasiaverages and spaces of states”, TMF, 60:3 (1984), 432–446; Theoret. and Math. Phys., 60:3 (1984), 921–931
\Bibitem{BogShuYuk84}
\by N.~N.~Bogolyubov (Jr.), A.~S.~Shumovskii, V.~I.~Yukalov
\paper The concept of quasiaverages and spaces of states
\jour TMF
\yr 1984
\vol 60
\issue 3
\pages 432--446
\mathnet{http://mi.mathnet.ru/tmf5587}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=768171}
\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 60
\issue 3
\pages 921--931
\crossref{https://doi.org/10.1007/BF01017895}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984AEF5000010}
Linking options:
https://www.mathnet.ru/eng/tmf5587
https://www.mathnet.ru/eng/tmf/v60/i3/p432
This publication is cited in the following 6 articles:
V. I. Yukalov, E. P. Yukalova, “Models of Mixed Matter”, Phys. Part. Nuclei, 54:1 (2023), 1
Hlushak P. Tokarchuk M., “Chain of Kinetic Equations For the Distribution Functions of Particles in Simple Liquid Taking Into Account Nonlinear Hydrodynamic Fluctuations”, Physica A, 443 (2016), 231–245
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
J.L. Birman, R.G. Nazmitdinov, V.I. Yukalov, “Effects of symmetry breaking in finite quantum systems”, Physics Reports, 526:1 (2013), 1
V. I. Yukalov, “Basics of Bose-Einstein condensation”, Phys. Part. Nuclei, 42:3 (2011), 460
Vyacheslav Yukalov, “Systems with Symmetry Breaking and Restoration”, Symmetry, 2:1 (2010), 40
Citation in format AMSBIB
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