The effect of retardation on the stability of current filaments

Physics

Scientific paper

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Magnetohydrodynamic Stability, Magnetohydrodynamic Waves, Propagation Velocity, Solar Prominences, Photosphere, Solar Magnetic Field

Scientific paper

The influence of the finite Alfven velocity on the evolution of an active region filament is investigated. As a consequence of the fact that a magnetic field can only change with the Alfven velocity, a filament will experience the photospheric boundary conditions as these were at an Alfven travel back in time. The inclusion of this retardation effect in the momentum equation of a filament leads effectively to an extra force term. This force contribution acts in the direction in which the filament moves and therefore has a destabilizing effect on the filament. Because a moving filament acts as an antenna of Alfven waves, the filament loses energy by the emission process. This leads to a radiative damping term in the equation of motion of the filament. Numerical simulations show that during the energy build-up phase a filament follows the van Tend-Kuperus equilibrium curve. After the van Tend-Kuperus equilibrium has disappeared the filament goes through a transient phase moving with a sub-Alfvenic velocity upward.

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