A numerical study of Hall effect in ULF waves

Physics

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2483 Wave/Particle Interactions (7867), 2700 Magnetospheric Physics (6939), 2772 Plasma Waves And Instabilities (2471), 2784 Solar Wind/Magnetosphere Interactions

Scientific paper

Hall magnetohydrodynamics (MHD) is defined to be conventional MHD with the Hall term in Faraday's law. When the characteristic scale length is small compared to the collisionless ion skin depth (c/ ωpi) and the characteristic time scale is short compared to the inverse ion cyclotron frequency (t<ωci-1), the single fluid MHD approximation is no longer valid. The Hall MHD formalism treats the plasma as a single fluid like MHD does, though it takes into account the finite ion inertia. In this way it is possible to describe waves with frequencies up to ω ≍ ωci. Since the electron mass is still negligible, its application is limited to frequencies well below the lower hybrid frequency (ω << ωLH). Hall MHD has been studied in various wave modes such as the surface Alfven wave, the kinetic Alfven wave, and the nonlinear Alfven wave. Recently it becomes evident that Hall physics also plays a critical role in magnetic reconnection process. However, it is still of considerable interests to investigate how electrons and ions behave in inhomogeneous plasmas when the frequency ranges from very low values of MHD to ωci . In particular, no studies have been made on how electron and ion oscillations are differentiated for different wave modes. In this study, we present a numerical study of Hall effect in ULF waves by adopting the multi-fluid wave model, which has recently been developed by Kim and Lee [2003]. When the frequency ranges from MHD waves to ion cyclotron waves, electron/ion velocities, electric and magnetic fields, and current density are investigated for both shear Alfven mode and compressional mode, respectively. At Alfven resonances, it is found that the electron and the ion velocities of compressional component are significantly decoupled. At the compressional modes such as cavity modes, the electron and the ion velocities of shear modes are decoupled.

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