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Matematicheskoe modelirovanie, 2018, Volume 30, Number 2, Pages 3–17 (Mi mm3936)  
Parametric resonance and energy transfer in dusty plasma

V. P. Semyonovab, A. V. Timofeevab

a Joint Institute for Nuclear Research, Dubna, Moscow region
b National Research University Higher School of Economics
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Abstract: Model allowing analytical and numerical studying of dusty plasma system is used to describe dynamics of monolayer of dusty particles. Mechanism of energy transfer between horizontal and vertical particles motion based on parametric resonance is described by an extended Mathieu equation. Resonance regions and growth rates of dust particles energy are obtained. Conditions of resonance occurrence and initial stage of energy transfer are described more precisely based on analysis of derived data. It is shown that a wide spectrum of dust particles oscillations participate in energy transfer. The core harmonics of energy transfer are determined.
Keywords: numerical simulations, parametric resonance, Mathieu equation, dusty plasma.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Received: 08.02.2017
English version:
Mathematical Models and Computer Simulations, 2018, Volume 10, Issue 5, Pages 539–550
DOI: https://doi.org/10.1134/S2070048218050101
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. P. Semyonov, A. V. Timofeev, “Parametric resonance and energy transfer in dusty plasma”, Matem. Mod., 30:2 (2018), 3–17; Math. Models Comput. Simul., 10:5 (2018), 539–550
Citation in format AMSBIB
\Bibitem{SemTim18}
\by V.~P.~Semyonov, A.~V.~Timofeev
\paper Parametric resonance and energy transfer in dusty plasma
\jour Matem. Mod.
\yr 2018
\vol 30
\issue 2
\pages 3--17
\mathnet{http://mi.mathnet.ru/mm3936}
\elib{https://elibrary.ru/item.asp?id=32497614}
\transl
\jour Math. Models Comput. Simul.
\yr 2018
\vol 10
\issue 5
\pages 539--550
\crossref{https://doi.org/10.1134/S2070048218050101}
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