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Teoreticheskaya i Matematicheskaya Fizika, 1982, Volume 51, Number 2, Pages 268–277 (Mi tmf2416)  
This article is cited in 3 scientific papers (total in 3 papers)

Generalized hierarchical model of a scalar ferromagnet in the method of collective variables

Yu. V. Kozitskii, I. R. Yukhnovskii
Full-text PDF (1068 kB) Citations (3)
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Abstract: By means of the method of collective variables and certain approximations a hierarchical representation is obtained for the partition function of the ferromagnetic Ising model with both short- and long-range interactions. It is shown that in the latter case the representation is, apart from a factor, identical to the exact representation of the partition function of the Dys0n model obtained by the same method. The approximations that lead from the Ising model to the Dyson model are analyzed.
Received: 23.02.1981
English version:
Theoretical and Mathematical Physics, 1982, Volume 51, Issue 2, Pages 490–497
DOI: https://doi.org/10.1007/BF01036217
Bibliographic databases:
Language: Russian
Citation: Yu. V. Kozitskii, I. R. Yukhnovskii, “Generalized hierarchical model of a scalar ferromagnet in the method of collective variables”, TMF, 51:2 (1982), 268–277; Theoret. and Math. Phys., 51:2 (1982), 490–497
Citation in format AMSBIB
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\by Yu.~V.~Kozitskii, I.~R.~Yukhnovskii
\paper Generalized hierarchical model of a scalar ferromagnet in the method of collective variables
\jour TMF
\yr 1982
\vol 51
\issue 2
\pages 268--277
\mathnet{http://mi.mathnet.ru/tmf2416}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=672587}
\transl
\jour Theoret. and Math. Phys.
\yr 1982
\vol 51
\issue 2
\pages 490--497
\crossref{https://doi.org/10.1007/BF01036217}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1982PT76000013}
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  • https://www.mathnet.ru/eng/tmf/v51/i2/p268
    • This publication is cited in the following 3 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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    References:38
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