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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 116, Number 3, Pages 431–441
DOI: https://doi.org/10.4213/tmf914 (Mi tmf914) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Some thermodynamic features of ideal systems with nonlinear interaction

V. P. Barasheva, V. V. Belovb, A. S. Vshivtseva, A. G. Kisun'koa

a Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University)
b Moscow State Institute of Electronics and Mathematics
Full-text PDF (223 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf914
Abstract: The thermodynamic properties of two two-dimensional systems are investigated comparatively. One system corresponds to a bound state of a two-dimensional harmonic oscillator, and the other corresponds to a nonlinear anharmonic oscillator. The spectrum for the harmonic oscillator is presented; for the nonlinear oscillator, the WKB spectrum and the wave functions are first calculated. The Ω-potential behavior is essentially different at high temperatures. This difference may possibly be observed by investigating the temperature dependence of the heat capacity in planar anisotropic media.
Received: 04.02.1998
English version:
Theoretical and Mathematical Physics, 1998, Volume 116, Issue 3, Pages 1074–1082
DOI: https://doi.org/10.1007/BF02557148
Bibliographic databases:
Language: Russian
Citation: V. P. Barashev, V. V. Belov, A. S. Vshivtsev, A. G. Kisun'ko, “Some thermodynamic features of ideal systems with nonlinear interaction”, TMF, 116:3 (1998), 431–441; Theoret. and Math. Phys., 116:3 (1998), 1074–1082
Citation in format AMSBIB
\Bibitem{BarBelVsh98}
\by V.~P.~Barashev, V.~V.~Belov, A.~S.~Vshivtsev, A.~G.~Kisun'ko
\paper Some thermodynamic features of ideal systems with nonlinear interaction
\jour TMF
\yr 1998
\vol 116
\issue 3
\pages 431--441
\mathnet{http://mi.mathnet.ru/tmf914}
\crossref{https://doi.org/10.4213/tmf914}
\zmath{https://zbmath.org/?q=an:0941.82029}
\transl
\jour Theoret. and Math. Phys.
\yr 1998
\vol 116
\issue 3
\pages 1074--1082
\crossref{https://doi.org/10.1007/BF02557148}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000078007000009}
Linking options:
  • https://www.mathnet.ru/eng/tmf914
  • https://doi.org/10.4213/tmf914
  • https://www.mathnet.ru/eng/tmf/v116/i3/p431
    • This publication is cited in the following 1 articles:
    1. V. A. Vshivtsev, A. V. Prokopov, A. V. Tatarintsev, “Some features of the thermodynamics of nonlinear classical systems”, Theoret. and Math. Phys., 125:2 (2000), 1568–1577  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :248
    References:92
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