Title of article :
A mathematical description of the torsional Alfven wave resonance in coronal loopst
Author/Authors :
Zhan-yin and Wei، نويسنده , , Ye and Feng-si، نويسنده , , Wei and Chi، نويسنده , , Wang and Qing-yu، نويسنده , , Luo and Xue-shang، نويسنده , , Feng، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2004
Pages :
8
From page :
50
To page :
57
Abstract :
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.
Keywords :
SUN , corona—magnetohydrodynamics
Journal title :
Chinese Astronomy and Astrophysics
Serial Year :
2004
Journal title :
Chinese Astronomy and Astrophysics
Record number :
2263398
Link To Document :
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