Astronomy and Astrophysics – Astrophysics – Solar and Stellar Astrophysics
Scientific paper
2010-08-19
Mon. Not. R. Astron. Soc. 394, 1973-1977 (2009)
Astronomy and Astrophysics
Astrophysics
Solar and Stellar Astrophysics
12 pages, 7 figures
Scientific paper
The standing quasi-modes of the ideal MHD in a zero-$\beta$ cylindrical magnetic flux tube that undergoes a longitudinal density stratification and radial density structuring is considered. The radial structuring is assumed to be a linearly varying density profile. Using the relevant connection formulae of the resonant absorption, the dispersion relation for the fast MHD body waves is derived and solved numerically to obtain both the frequencies and damping rates of the fundamental and first-overtone, $k=1,2$ modes of both the kink ($m=1$), and fluting ($m=2$) waves. Where $k$ and $m$ are the longitudinal and azimuthal mode numbers, respectively.
Amiri Shahram
Karami Kayoomars
Nasiri Sadolah
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