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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 57, Number 3, Pages 459–464 (Mi tmf2282)  
This article is cited in 2 scientific papers (total in 2 papers)

On the phase diagram in the Frenkel'–Kontorova model

A. Ya. Zaslavskii
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Abstract: A probability measure invariant with respect to a two-dimensional transformation and describing the $T\to0$ limit of the Gibbs distribution in the Frenkel'–Kontorova model is investigated. The obtained result shows that for sufficiently high energies of the substrate the configurations of particles forming ground states are such that all particles are at points of minimum of the potential.
Received: 09.02.1983
English version:
Theoretical and Mathematical Physics, 1983, Volume 57, Issue 3, Pages 1262–1265
DOI: https://doi.org/10.1007/BF01018755
Bibliographic databases:
Language: Russian
Citation: A. Ya. Zaslavskii, “On the phase diagram in the Frenkel'–Kontorova model”, TMF, 57:3 (1983), 459–464; Theoret. and Math. Phys., 57:3 (1983), 1262–1265
Citation in format AMSBIB
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\by A.~Ya.~Zaslavskii
\paper On the phase diagram in the Frenkel'--Kontorova model
\jour TMF
\yr 1983
\vol 57
\issue 3
\pages 459--464
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=735401}
\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 57
\issue 3
\pages 1262--1265
\crossref{https://doi.org/10.1007/BF01018755}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983SY87100013}
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  • https://www.mathnet.ru/eng/tmf/v57/i3/p459
    • 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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