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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 58, Number 1, Pages 96–108 (Mi tmf4425)  

This article is cited in 2 scientific papers (total in 2 papers)

Hierarchical vector model of a ferromagnet in the method of collective variables. The Lee–Yang theorem

Yu. V. Kozitskii
References:
Abstract: A hierarchical vector model of a ferromagnet that approximates the corresponding translationally symmetric model with two-body interaction of arbitrary range is proposed. For such a model of arbitrary vector dimension it is shown that the zeros of the partition function are localized on the imaginary axis of magnetic field values. A sufficient condition is also proved for block-spin distributions whose partition functions have such a property.
Received: 10.05.1983
English version:
Theoretical and Mathematical Physics, 1984, Volume 58, Issue 1, Pages 63–71
DOI: https://doi.org/10.1007/BF01031036
Bibliographic databases:
Language: Russian
Citation: Yu. V. Kozitskii, “Hierarchical vector model of a ferromagnet in the method of collective variables. The Lee–Yang theorem”, TMF, 58:1 (1984), 96–108; Theoret. and Math. Phys., 58:1 (1984), 63–71
Citation in format AMSBIB
\Bibitem{Koz84}
\by Yu.~V.~Kozitskii
\paper Hierarchical vector model of a ferromagnet in the method of collective variables. The Lee--Yang theorem
\jour TMF
\yr 1984
\vol 58
\issue 1
\pages 96--108
\mathnet{http://mi.mathnet.ru/tmf4425}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=740217}
\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 58
\issue 1
\pages 63--71
\crossref{https://doi.org/10.1007/BF01031036}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984TA24500008}
Linking options:
  • https://www.mathnet.ru/eng/tmf4425
  • https://www.mathnet.ru/eng/tmf/v58/i1/p96
  • This publication is cited in the following 2 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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    Abstract page:344
    Full-text PDF :92
    References:47
    First page:1
     
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