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Moscow Mathematical Journal, 2012, Volume 12, Number 1, Pages 139–147
DOI: https://doi.org/10.17323/1609-4514-2012-12-1-139-147 (Mi mmj450) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Fixed points for one-dimensional particle system with strong interaction

V. A. Malyshev

Faculty of Mathematics and Mechanics, Moscow State University, Moscow, Russia
Full-text PDF Citations (6)
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DOI: https://doi.org/10.17323/1609-4514-2012-12-1-139-147
Abstract: We consider hamiltonian N particle system on the finite segment with nearest-neighbor Coulomb interaction and external force F. We study the fixed points of such system and show that the distances between neighbors are asymptotically, for large N, the same for any F.
Key words and phrases: statistical physics, hamiltonian systems, submicroscale, fixed points.
Received: December 10, 2010
Bibliographic databases:
Document Type: Article
MSC: 82C21
Language: English
Citation: V. A. Malyshev, “Fixed points for one-dimensional particle system with strong interaction”, Mosc. Math. J., 12:1 (2012), 139–147
Citation in format AMSBIB
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\by V.~A.~Malyshev
\paper Fixed points for one-dimensional particle system with strong interaction
\jour Mosc. Math.~J.
\yr 2012
\vol 12
\issue 1
\pages 139--147
\mathnet{http://mi.mathnet.ru/mmj450}
\crossref{https://doi.org/10.17323/1609-4514-2012-12-1-139-147}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2952428}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000309364900007}
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  • https://www.mathnet.ru/eng/mmj450
  • https://www.mathnet.ru/eng/mmj/v12/i1/p139
    • This publication is cited in the following 6 articles:
    1. [Anonymous], “Coulomb Networks”, Markov Process. Relat. Fields, 24:2, SI (2018), 185–189  mathscinet  isi
    2. V. A. Malyshev, “Phase transitions in the one-dimensional Coulomb medium”, Problems Inform. Transmission, 51:1 (2015), 31–36  mathnet  crossref  isi  elib
    3. Malyshev V.A., Zamyatin A.A., “One-Dimensional Coulomb Multiparticle Systems”, Adv. Math. Phys., 2015, 857846  crossref  mathscinet  zmath  isi  elib  scopus
    4. Malyshev V.A., “Self-Organized Circular Flow of Classical Point Particles”, J. Math. Phys., 54:2 (2013), 023301  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    5. 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
    6. V. A. Malyshev, “Fine structure of a one-dimensional discrete point system”, Problems Inform. Transmission, 48:3 (2012), 283–296  mathnet  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
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