The parametric resonance features for theory of energy transfer in dusty plasma

30th International Conference on Interaction of Intense Energy Fluxes with Matter

Semyonov, V.P.^1,2 ; Timofeev, A.V.^2

Moscow Institute of Electronics and Mathematics, National Research University Higher School of Economics, Tallinskaya 34, Moscow

123458, Russia^1

Joint Institute for High Temperatures, Russian Academy of Sciences, Izhorskaya 13, Moscow

125412, Russia^2

关键词: Analytical approach;    Analytical results;    Dusty plasmas;    Mathieu equation;    Numerical solution;    Parametric resonance;    Stochastic forces;    Zone detection;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/653/1/012138/pdf
DOI  :  10.1088/1742-6596/653/1/012138

来源: IOP

【 摘 要 】

One of the mechanisms of energy transfer between degrees of freedom of dusty plasma system can be described by equations similar to Mathieu equation with account of stochastic forces. Such equation is studied by analytical approach. The solutions for higher order of accuracy are obtained. The method for numerical solution and resonance zone detection is proposed. The solution for the extended Mathieu equation is obtained for wide range of parameter values. The results of numerical solution are compared with analytical solutions of different order and known analytical results for Mathieu equation.