Characteristics of magnetohydrodynamic waves in Harris-type current sheet with guide magnetic field By

Physics – Plasma Physics

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Magnetospheric Physics: Mhd Waves And Instabilities (2149, 6050, 7836), Space Plasma Physics: Kinetic And Mhd Theory, Magnetospheric Physics: Magnetotail, Magnetospheric Physics: Magnetopause And Boundary Layers, Magnetospheric Physics: Magnetosheath

Scientific paper

An overview is presented of the characteristics of hydromagnetic waves propagating in Harris-type current sheet with magnetic field of B x (z)$\hat{x and an embedded guide B y component based on the ideal magnetohydrodynamic (MHD) model. The wave equations are expressed in the (k $\parallel$ , k $\perp$ , z) coordinates, and singularities are identified for general cases of k y ≠ 0 and B y ≠ 0, where k $\parallel$ and k $\perp$ are the components of the wave vector parallel and perpendicular to the local magnetic field, respectively, and the inhomogeneity is in the z direction. The presence of B y may lead to the rotation of the magnetic field relative to the wave vector so that a singular layer with k $\perp$ = 0 surrounded by a neighboring region of k $\perp$ ≠ 0 may exist. This result is in contrast with the case of B y = 0 for which Alfvén or field-line resonance associated with the mathematical singularity tends to occur for k $\perp$ ≠ 0 and ω = k $\parallel$ C A , where C A is the Alfvén speed. The possibility for MHD waves with frequency of ω = k $\parallel$ C A to propagate through the inhomogeneous layer with B y ≠ 0 is analyzed, and numerical solutions for discrete eigenmodes with various free parameter values are presented.

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