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Mosc. Math. J., 2006, Volume 6, Number 2, Pages 353–358 (Mi mmj250)  

This article is cited in 3 scientific papers (total in 3 papers)

One-dimensional mechanical networks and crystals

V. A. Malyshev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We propose a rigorous model of one dimensional crystal or of a biological mechanical network. We prove the thermal expansion and Hooke's law for this model.

Key words and phrases: Gibbs distribution, biological mechanical network, crystal, thermal expansion, Hooke's law

DOI: https://doi.org/10.17323/1609-4514-2006-6-2-353-358

Full text: http://www.ams.org/.../abst6-2-2006.html
References: PDF file   HTML file

Bibliographic databases:

MSC: 60Kxx, 82C99
Received: October 12, 2005
Language:

Citation: V. A. Malyshev, “One-dimensional mechanical networks and crystals”, Mosc. Math. J., 6:2 (2006), 353–358

Citation in format AMSBIB
\Bibitem{Mal06}
\by V.~A.~Malyshev
\paper One-dimensional mechanical networks and crystals
\jour Mosc. Math.~J.
\yr 2006
\vol 6
\issue 2
\pages 353--358
\mathnet{http://mi.mathnet.ru/mmj250}
\crossref{https://doi.org/10.17323/1609-4514-2006-6-2-353-358}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2270618}
\zmath{https://zbmath.org/?q=an:1121.82043}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000208595800006}


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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. V. A. Malyshev, “Critical states of strongly interacting many-particle systems on a circle”, Problems Inform. Transmission, 47:2 (2011), 190–200  mathnet  crossref  mathscinet  isi
    2. V. A. Malyshev, “Fixed points for one-dimensional particle system with strong interaction”, Mosc. Math. J., 12:1 (2012), 139–147  mathnet  crossref  mathscinet
    3. V. A. Malyshev, S. A. Muzychka, “Dynamical phase transition in the simplest molecular chain model”, Theoret. and Math. Phys., 179:1 (2014), 490–499  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
  • Moscow Mathematical Journal
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