Magnetohydrodynamic equilibria and cusp formation at an X-type neutral line by footpoint shearing

Astronomy and Astrophysics – Astrophysics

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Magnetohydrodynamic Shear Heating, Plasma Heating, Solar Corona, Current Sheets, Magnetic Field Reconnection, Solar Magnetic Field

Scientific paper

Two-dimensional magnetohydrodynamic equilibria in the presence of an X-type natural line are investigated in the context of ideal magnetohydrodynamics. The poloidal field geometry with a neutral X-line is shown to be inconsistent with general sheared magnetostatic equilibria. Shearing of an initial potential poloidal magnetic field results in the splitting of an X-point into a current sheet with cusp-points (or Y-points in some particular cases) at its ends. The global geometry of the poloidal magnetic field produced by different types of footpoint shearing motions is discussed.

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