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Probl. Peredachi Inf., 2015, Volume 51, Issue 1, Pages 36–41 (Mi ppi2160)  

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

Large Systems

Phase transitions in the one-dimensional Coulomb medium

V. A. Malyshev

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

Abstract: A Coulomb medium is a system of $N$ charged particles of equal charge on an interval with nearest-neighbor Coulomb interaction and constant external electric field. We show that, asymptotically as $N\to\infty$, stable configurations have four possible phases of the particle density depending on the external field, which is assumed to be a function of $N$. Moreover, we find these phases explicitly.

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English version:
Problems of Information Transmission, 2015, 51:1, 31–36

Bibliographic databases:

UDC: 621.391.1+519.2
Received: 26.09.2014
Revised: 13.12.2014

Citation: V. A. Malyshev, “Phase transitions in the one-dimensional Coulomb medium”, Probl. Peredachi Inf., 51:1 (2015), 36–41; Problems Inform. Transmission, 51:1 (2015), 31–36

Citation in format AMSBIB
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\by V.~A.~Malyshev
\paper Phase transitions in the one-dimensional Coulomb medium
\jour Probl. Peredachi Inf.
\yr 2015
\vol 51
\issue 1
\pages 36--41
\mathnet{http://mi.mathnet.ru/ppi2160}
\elib{http://elibrary.ru/item.asp?id=26778200}
\transl
\jour Problems Inform. Transmission
\yr 2015
\vol 51
\issue 1
\pages 31--36
\crossref{https://doi.org/10.1134/S0032946015010044}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84945979226}


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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. Malyshev V.A. Zamyatin A.A., “One-Dimensional Coulomb Multiparticle Systems”, Adv. Math. Phys., 2015, 857846  crossref  isi  elib  scopus
    2. “International conference on stochastic methods (Abstracts)”, Theory Probab. Appl., 62:4 (2018), 640–674  mathnet  crossref  crossref  isi  elib
    3. T. S. Turova, “Phase transitions in the one-dimensional Coulomb gas ensembles”, Ann. Appl. Probab., 28:2 (2018), 1249–1291  crossref  mathscinet  zmath  isi
    4. “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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