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Teoreticheskaya i Matematicheskaya Fizika, 1981, Volume 46, Number 1, Pages 125–131 (Mi tmf2304)  

This article is cited in 6 scientific papers (total in 6 papers)

Violation of the principle of minimality of the free energy in the self-consistent field approximation for some models of ferroelectrics

M. A. Osipov, A. S. Shumovskii
References:
Abstract: For the example of a simple model used in the theory of ferroelectricity it is shown that the equilibrium values of the thermodynamic parameters cannot correspond to a minimum of the free energy in the self-consistent field approximation. This is explained by the fact that the approximate equilibrium values of the thermodynamic parameters are determined on the basis of Bogolyubov's variational principle; this principle requires minimization of not the approximate free energy itself but rather the difference between the approximate free energy and the exact free energy. If the Hamiltonian of the system contains a negative (antiferromagnetic) or positive (ferromagnetic) effective interaction, the free energy in the molecular field approximation is maximal or minimal with respect to the corresponding thermodynamic parameter.
Received: 03.01.1980
English version:
Theoretical and Mathematical Physics, 1981, Volume 46, Issue 1, Pages 83–87
DOI: https://doi.org/10.1007/BF01019453
Bibliographic databases:
Language: Russian
Citation: M. A. Osipov, A. S. Shumovskii, “Violation of the principle of minimality of the free energy in the self-consistent field approximation for some models of ferroelectrics”, TMF, 46:1 (1981), 125–131; Theoret. and Math. Phys., 46:1 (1981), 83–87
Citation in format AMSBIB
\Bibitem{OsiShu81}
\by M.~A.~Osipov, A.~S.~Shumovskii
\paper Violation of the principle of minimality of the free energy in the self-consistent field approximation for some models of ferroelectrics
\jour TMF
\yr 1981
\vol 46
\issue 1
\pages 125--131
\mathnet{http://mi.mathnet.ru/tmf2304}
\transl
\jour Theoret. and Math. Phys.
\yr 1981
\vol 46
\issue 1
\pages 83--87
\crossref{https://doi.org/10.1007/BF01019453}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MH85700012}
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  • https://www.mathnet.ru/eng/tmf/v46/i1/p125
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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