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TMF, 1984, Volume 59, Number 1, Pages 139–153 (Mi tmf4783)  

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

Theory of spin glasses based on the principle of stationarity of the free energy infinite-range model

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


Abstract: Analytic expressions are obtained for the thermodynamic quantities of the Ising model with infinite-range interaction under the assumption that there exists a large number of local minima in the system. It is assumed that they participate in the configuration averaging with equal weight (“white average”). The behavior of the thermodynamic quantities is investigated in the limiting cases of temperatures near the critical temperature of the transition to the spin glass phase and temperatures near zero. It is shown that in the low-temperature region the entropy is positive, and this eliminates the difficulty associated with its analytic calculation.

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English version:
Theoretical and Mathematical Physics, 1984, 59:1, 411–420

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Received: 23.06.1983

Citation: 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”, TMF, 59:1 (1984), 139–153; Theoret. and Math. Phys., 59:1 (1984), 411–420

Citation in format AMSBIB
\Bibitem{VlaDogMos84}
\by M.~I.~Vladimir, L.~A.~Dogotar', V.~A.~Moskalenko
\paper Theory of spin glasses based on the principle of stationarity of the free energy infinite-range model
\jour TMF
\yr 1984
\vol 59
\issue 1
\pages 139--153
\mathnet{http://mi.mathnet.ru/tmf4783}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=749010}
\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 59
\issue 1
\pages 411--420
\crossref{https://doi.org/10.1007/BF01028520}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1984TR03500011}


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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', 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
    2. M. I. Vladimir, S. P. Koshukar', V. A. Moskalenko, “Mean field method in the theory of quadrupolar glass with axial interaction of infinite range”, Theoret. and Math. Phys., 71:3 (1987), 632–638  mathnet  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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