# The Effect of Twisted Magnetic Field on the Period Ratio P\_1/P\_2 of Nonaxisymmetric MHD Waves

Source: [The Effect of Twisted Magnetic Field on the Period Ratio P\_1/P\_2 of Nonaxisymmetric MHD Waves](<https://www.sota2.com/research/paper/68fa2b951e209131ce8485a6>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:53:14.696Z

Authors: K. Karami, K. Bahari

Published: 2009-11-24T16:19:34.000Z

## Abstract

The nonaxisymmetric magnetohydrodynamic (MHD) modes in a zero-beta cylindrical compressible thin magnetic flux tube modelled as a twisted core surrounded by a magnetically twisted annulus, both embedded in a straight ambient external field is considered. The dispersion relation is derived and solved analytically and numerically to obtain the frequencies of the nonaxisymmetric MHD waves. The main result is that the twisted magnetic annulus does affect the period ratio P\_1/P\_2 of the kink modes. For the kink modes, the magnetic twist in the annulus region can achieve deviations from P\_1/P\_2 = 2 of the same order of magnitude as in the observations. Furthermore, the effect of the internal twist on the fluting modes is investigated.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0911.4664>)

[PDF](<https://arxiv.org/pdf/0911.4664.pdf>)