An accurate solution in magnetic shearing dynamics

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Magnetohydrodynamic Shear Heating, Shearing, Solar Atmosphere, Differential Equations, Flow Distribution, Gas Density, Magnetic Field Configurations

Scientific paper

An exact solution of magnetic shearing dynamics in the stage of linear development under constant gas density is obtained. Numerical results in the cases of constant and gravity-stratified densities show that their difference is very small when the gas/magnetic pressure ratio beta is of the order of 0.01. Therefore the results are applicable to the actual solar atmosphere. It is shown that the amplitude of velocities grows almost linearly with time and falls slowly with height, the fall getting slower all the time. This peculiar behavior makes the magnetic arch rise higher and higher, while the feet of the magnetic loops remain nearly fixed. Thus, a closed magnetic arch system may eventually become open.

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