Topological variation in the magnetic field line at the dayside magnetopause

Mathematics – Logic

Scientific paper

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Daytime, Lines Of Force, Magnetopause, Plasma-Electromagnetic Interaction, Solar Terrestrial Interactions, Topology, Kelvin-Helmholtz Instability, Magnetic Field Reconnection, Shear Flow, Tearing Modes (Plasmas), Twisting

Scientific paper

This paper uses normal mode analysis to examine topological changes in magnetic field lines at the magnetopause. For a modified Harris sheet, the normal modes include a symmetric solution (tearing mode) and an antisymmetric solution (twisting mode). Both modes form flux ropes. The tearing mode in the presence of shear flow is studied. By modeling the external region plasma with drift kinetic formalism, the growth rate of the tearing mode is found to be reduced by shear flow. On the other hand, the shear flow generates a Kelvin-Helmholtz instability which makes the magnetic field perturbation a twisting mode structure. When magnetopause parameters are used, it is difficult to induce a tearing mode in the presence of shear flow, though a shear flow twisting mode did grow under these conditions.

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