Dissipative MHD solutions for resonant Alfvén waves in two-dimensional poloidal magnetoplasmas

Physics – Plasma Physics

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Interplanetary Physics: Mhd Waves And Turbulence, Magnetospheric Physics: Mhd Waves And Instabilities, Space Plasma Physics: Kinetic And Mhd Theory, Space Plasma Physics: Waves And Instabilities

Scientific paper

The resonant excitation of Alfvén waves is considered in a resistive warm plasma embedded in a purely poloidal field. The magnetostatic equilibrium is invariant in the y direction. The driven problem is studied in the asymptotic state, so we can assume that all wave fields vary as exp[i(λy-ωt)]. Resistive solutions are derived in the vicinity of the resonance with the aid of an asymptotic expansion procedure. We find that the zeroth-order functions of the flux coordinate have to satisfy differential equations analogous to those obtained by Goossens et al. [1995] for the resistive one-dimensional systems. Applied to the two-dimensional box model for the Earth's magnetosphere, we recover the results found by Thompson and Wright [1993] in ideal MHD, but in addition, we obtain the behavior in the dissipative layer in the asymptotic state.

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