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Probl. Peredachi Inf., 2011, Volume 47, Issue 2, Pages 117–127 (Mi ppi2048)  

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

Large Systems

Critical states of strongly interacting many-particle systems on a circle

V. A. Malyshev

Laboratory of Large Random Systems, Faculty of Mathematics and Mechanics, Lomonosov Moscow State University

Abstract: Normally, two scales are considered in multicomponent systems, namely, macro and micro scales. Moreover, it is accepted that macro variables are completely defined by micro variables. We show that in the considered particle system with strong local (Coulomb) interaction this is not always the case. Namely, information concerning some macro variables can be encoded on a scale much finer than the micro scale.

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English version:
Problems of Information Transmission, 2011, 47:2, 190–200

Bibliographic databases:

UDC: 621.391.1+519.2
Received: 27.12.2010
Revised: 22.02.2011

Citation: V. A. Malyshev, “Critical states of strongly interacting many-particle systems on a circle”, Probl. Peredachi Inf., 47:2 (2011), 117–127; Problems Inform. Transmission, 47:2 (2011), 190–200

Citation in format AMSBIB
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\by V.~A.~Malyshev
\paper Critical states of strongly interacting many-particle systems on a~circle
\jour Probl. Peredachi Inf.
\yr 2011
\vol 47
\issue 2
\pages 117--127
\mathnet{http://mi.mathnet.ru/ppi2048}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2857790}
\transl
\jour Problems Inform. Transmission
\yr 2011
\vol 47
\issue 2
\pages 190--200
\crossref{https://doi.org/10.1134/S0032946011020086}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051698326}


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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, “Analytic Dynamics of a One-Dimensional System of Particles with Strong Interaction”, Math. Notes, 92:2 (2012), 237–248  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    2. V. A. Malyshev, “Fine structure of a one-dimensional discrete point system”, Problems Inform. Transmission, 48:3 (2012), 283–296  mathnet  crossref  isi
    3. Malyshev V.A., Zamyatin A.A., “One-Dimensional Coulomb Multiparticle Systems”, Adv. Math. Phys., 2015, 857846  crossref  mathscinet  isi  elib  scopus
    4. [Anonymous], “Coulomb Networks”, Markov Process. Relat. Fields, 24:2, SI (2018), 185–189  mathscinet  isi
  • Проблемы передачи информации Problems of Information Transmission
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