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TMF, 1982, Volume 50, Number 2, Pages 272–285 (Mi tmf2109)  

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

Ising model for spin glasses

M. I. Vladimir, L. A. Dogotar', V. A. Moskalenko


Abstract: The diagram method of high-temperature expansions is used to study the Ising model for spin glasses. The property of stationarity of the free energy of the system with respect to the magnetic moment and the exchange field is proved. The “exactly solvable” Sherrington–Kirkpatrick model is investigated, and it is shown that in the thermodynamic limit the results obtained in the present paper agree exactly with the results obtained by the replica method. Thus, the ell-known difficulties associated with the low-temperature entropy remain.

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English version:
Theoretical and Mathematical Physics, 1982, 50:2, 177–185

Bibliographic databases:

Received: 21.01.1981

Citation: M. I. Vladimir, L. A. Dogotar', V. A. Moskalenko, “Ising model for spin glasses”, TMF, 50:2 (1982), 272–285; Theoret. and Math. Phys., 50:2 (1982), 177–185

Citation in format AMSBIB
\Bibitem{VlaDogMos82}
\by M.~I.~Vladimir, L.~A.~Dogotar', V.~A.~Moskalenko
\paper Ising model for spin glasses
\jour TMF
\yr 1982
\vol 50
\issue 2
\pages 272--285
\mathnet{http://mi.mathnet.ru/tmf2109}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=662043}
\transl
\jour Theoret. and Math. Phys.
\yr 1982
\vol 50
\issue 2
\pages 177--185
\crossref{https://doi.org/10.1007/BF01015299}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1982PH72200009}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. M. I. Vladimir, L. A. Dogotar', V. A. Moskalenko, “Theory of spin glasses based on the principle of stationarity of the free energy infinite-range model”, Theoret. and Math. Phys., 59:1 (1984), 411–420  mathnet  crossref  mathscinet  isi
    2. M. I. Vladimir, L. A. Dogotar', S. P. Kozhukhar', “Coexistence of spin glass phase with ferromagnetism in the Sherrington–Kirkpatrick model”, Theoret. and Math. Phys., 68:3 (1986), 948–954  mathnet  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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