Effect of electrical resistivity on the damping of fast and slow sausage modes
SolarMHDWav
Michaël
Geeraerts
Date Submitted
2019-03-15 14:14:56
KU Leuven
Michaël Geeraerts, Tom Van Doorsselaere
The effect of electrical resistivity on the damping of fast and slow magnetosonic waves is studied analytically. First, we briefly analyse the simple case of an infinite homogeneous cartesian plasma and look at how it affects the damping time of the wave. In a second, more complicated case we look at axisymmetric modes of a cylindrical flux tube with a discontinuous profile in the equilibrium density, plasma pressure and magnetic field (representative for a pore in the solar photosphere e.g.). Analytical dispersion relations are found in both cases under the assumption of very small electrical resistivity, which converge to the corresponding dispersion relation from the ideal case when taking the limit of a vanishing electrical resistivity.
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