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

Abstract

The standing MHD modes in a zero-$\beta$ 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.

arXiv comment13 pages, 11 figures

Cited by in corpus (14)

• Energetics of the Kelvin-Helmholtz instability induced by transverse waves in twisted coronal loops
• The Effect of Twisted Magnetic Field on the Period Ratio P_1/P_2 of Nonaxisymmetric MHD Waves
• The effect of twisted magnetic field on the resonant absorption of MHD waves in coronal loops
• Kelvin-Helmholtz instability of kink waves in photospheric twisted flux tubes
• Resonant absorption in expanding coronal magnetic flux tubes with uniform density
• Resonant absorption of kink magnetohydrodynamic waves by a magnetic twist in coronal loops
• The effect of a twisted magnetic field on the phase mixing of the kink magnetohydrodynamic waves in coronal loops
• The effect of magnetic twist on resonant absorption of slow sausage waves in magnetic flux tubes
• Transition to turbulence in nonuniform coronal loops driven by torsional Alfvén waves. II. Extended analysis and effect of magnetic twist
• Observation of the period ratio P_1/P_2 of transversal oscillations in solar macro-spicules
• The period ratio P_1/P_2 of torsional Alfvén waves with steady flows in spicules
• Resonant Absorption of Kink MHD Waves in Inclined and Asymmetric Coronal Loops
• Resonantly damped oscillations of elliptically shaped stratified emerging coronal loops
• Torsional Alfven waves and the period ratio P_1/P_2 in spicules