The effects of twisted magnetic field on coronal loops oscillations and dissipation

Abstract

The standing MHD modes in a zero-β cylindrical magnetic flux tube modelled as a straight core surrounded by a magnetically twisted annulus, both embedded in a straight ambient external field is considered. The dispersion relation for the fast MHD waves is derived and solved numerically to obtain the frequencies of both the kink (m=1), and fluting (m=2,3) waves. Damping rates due to both viscous and resistive dissipations in presence of the twisted magnetic field is derived and solved numerically for both the kink and fluting waves.

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