Shear-induced instability and arch filament eruption - A magnetohydrodynamic (MHD) numerical simulation

Physics

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Digital Simulation, Magnetohydrodynamic Stability, Mathematical Models, Solar Atmosphere, Solar Prominences, Magnetic Field Configurations, Solar Corona, Solar Magnetic Field, Time Dependence

Scientific paper

A situation wherein a bipolar magnetic field embedded in a stratified solar atmosphere undergoes symmetrical shear motion at the footpoints is investigated via a 2D (nonplanar) MHD simulation. It was found that the vertical plasma flow velocities grow exponentially, leading to a new type of global MHD instability. The growth rate increases almost linearly until it reaches the same order of magnitude as the Alfven speed. Then a nonlinear MHD instability occurs beyond this point. It was found that the central loops are pinched by opposing Lorentz forces, and the outer closed loops stretch upward with the vertically-rising mass flow. The nonlinear dynamical shearing instability is illustrated by a numerical example that is given for three different values of the plasma beta that span several orders of magnitude.

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