Alfven wave absorption in dissipative plasma

[摘要] We consider nonlinear absorption of Alfven waves due to dissipative effects in plasma and relaxation of temperatures of electrons and ions. This study is based on an exact solution of the equations of two-fluid electromagnetic hydrodynamics (EMHD) of plasma. It is shown that in order to study the decay of Alfven waves, it suffices to examine the behavior of their amplitudes whose evolution is described by a system of ordinary differential equations (ODEs) obtained in this paper. On finite time intervals, the system of equations on the amplitudes is studied numerically, while asymptotic integration (the Hartman-Grobman theorem) is used to examine its large-time behavior.

[发布机构] Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Russia^1

[效力级别] 数学

[关键词] Dissipative effects;Exact solution;Finite time intervals;Grobman theorem;Large time behavior;Nonlinear absorptions;System of equations;System of ordinary differential equations