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TMF, 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


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.

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English version:
Theoretical and Mathematical Physics, 1983, 57:3, 1262–1265

Bibliographic databases:

Received: 09.02.1983

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
\Bibitem{Zas83}
\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
\mathnet{http://mi.mathnet.ru/tmf2282}
\mathscinet{http://www.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{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1983SY87100013}


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

    This publication is cited in the following articles:
    1. L. D. Pustyl'nikov, “A ground state in the Frenkel'-Kontorova model”, Funct. Anal. Appl., 22:1 (1988), 74–75  mathnet  crossref  mathscinet  isi
    2. L. D. Pustyl'nikov, “Infinite-dimensional non-linear ordinary differential equations and the KAM theory”, Russian Math. Surveys, 52:3 (1997), 551–604  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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