Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cha%26a..28...50y&link_type=abstract
Chinese Astronomy and Astrophysics, Volume 28, Issue 1, p. 50-57.
Astronomy and Astrophysics
Astrophysics
1
Sun, Corona-Magnetohydrodynamics
Scientific paper
A method called complete orthogonal function series expression (OFSE) in Hilbert space is proposed to solve the non-dissipative torsional Alfven wave in coronal loops. Every base function corresponds to an intrinsic angular frequency ωn of each magnetic field line in the loop. Torsional Alfven wave resonance of the magnetic field lines arises when the driving angular frequency is equal to its intrinsic angular frequency. Using this method, we present a new form of the solution of torsional Alfven wave evolution under the boundary condition of being driven at the two foot-points. In the solution there exists a resonance term, from which it may be found that near the place of resonance with angular frequency ω a δ-type discontinuity appears at time t equal to odd multiples of π/(2ω). It is also found that the wave amplitude at the place of resonance linearly increases with time and the rate of increase is proportional to the Alfven wave speed, and inversely proportional to the length of the loop and is independent of the driving frequency.
Feng Xue-Shang
Luo Qing-Yu
Wang Chi
Wei Feng-Si
Ye Zhan-Yin
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