E. A. Luchinskaya, E. E. Tareeva, “Spin glass with $S=1$”, TMF, 90:2 (1992), 273–277; Theoret. and Math. Phys., 90:2 (1992), 185

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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 90, Number 2, Pages 273–277 (Mi tmf5535)

This article is cited in 4 scientific papers (total in 4 papers)

Spin glass with

$S=1$

E. A. Luchinskaya, E. E. Tareeva

Vereshchagin Institute for High Pressure Physics the USSR Academy of Scinces

Full-text PDF (451 kB) Citations (4)

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Abstract: A spin glass that differs from the Sherrington–Kirkpatrick model only in the spin's taking three values:

$+1$ ,

$0$ ,

$-1$ , is investigated. The free energy of the system is obtained in the replica-symmetric approximation, in which the equations for the order parameters are also solved; the entropy at zero temperature is negative. At zero temperature, all spins take values

$+1$ ,

$-1$ . This makes it possible to calculate the number of metastable states by the method of Edwards and Tanaka. The number is equal to the well-known result for the Sherrington–Kirkpatrick model.

Received: 17.04.1991

English version:
Theoretical and Mathematical Physics, 1992, Volume 90, Issue 2, Pages 185–188
DOI: https://doi.org/10.1007/BF01028443

Bibliographic databases:

Language: Russian

Citation: E. A. Luchinskaya, E. E. Tareeva, “Spin glass with

$S=1$ ”, TMF, 90:2 (1992), 273–277; Theoret. and Math. Phys., 90:2 (1992), 185–188

Citation in format AMSBIB

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\by E.~A.~Luchinskaya, E.~E.~Tareeva

\paper Spin glass with~$S=1$

\jour TMF

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\issue 2

\pages 273--277

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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1182299}

\transl

\jour Theoret. and Math. Phys.

\yr 1992

\vol 90

\issue 2

\pages 185--188

\crossref{https://doi.org/10.1007/BF01028443}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992JT83800011}

Linking options:

https://www.mathnet.ru/eng/tmf5535

https://www.mathnet.ru/eng/tmf/v90/i2/p273

This publication is cited in the following 4 articles:

E. E. Tareeva, T. I. Schelkacheva, “Spin-one $p$ -spin glass: Exact solution for large $p$ ”, Theoret. and Math. Phys., 194:2 (2018), 252–259
E. E. Tareeva, T. I. Shchelkacheva, N. M. Shchelkachev, “Spin-glass-type state in complex nonmagnetic systems”, Theoret. and Math. Phys., 160:2 (2009), 1190–1202
T.I. Schelkacheva, E.E. Tareyeva, N.M. Chtchelkatchev, “Full replica symmetry breaking in generalized mean-field spin glasses with reflection symmetry”, Physics Letters A, 358:3 (2006), 222
Gribova, NV, “Reflection symmetry in mean-field replica-symmetric spin glasses”, Physics Letters A, 315:6 (2003), 467

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	406
Full-text PDF :	133
References:	69
First page:	2

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