Abstract
The damping of fast kink oscillations of solar coronal loops attributable to the radiation of MHD waves into the surroundings is considered in the thin-tube approximation. The oscillation damping decrement is calculated both by using a new energy method and by solving the dispersion equation for magnetic-tube eigenmodes. The two approaches are in good agreement under appropriate assumptions. The damping is negligible if MHD waves are radiated perpendicular to the magnetic field. The low Q factor of the loop oscillations in active regions found with the TRACE space telescope is associated with the generation of running waves that propagate along magnetic field lines.
Similar content being viewed by others
References
K. Appert, R. Gruber, and J. Vaclavik, Phys. Fluids 17, 1471 (1974).
M. J. Aschwanden, L. Fletcher, C. J. Schrijver, et al., Astrophys. J. 520, 880 (1999).
S. I. Braginskii, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Gosatomizdat, Moscow, 1963; Consultants Bureau, New York, 1963), Vol. 1.
K. Hain and R. Lüust, Z. Naturforsh. A 13, 936 (1958).
B. B. Kadomtsev, Collective Phenomena in a Plasma (Nauka, Moscow, 1976).
J. Kleczek and M. Kuperus, Sol. Phys. 6, 72 (1969).
Yu. G. Kopylova and Yu. T. Tsap, Izv. Glavn. Astron. Obs. Akad. Nauk SSSR, No. 215, 301 (2000).
A. G. Kosovichev and V. V. Zharkova, Nature 393, 317 (1998).
J. A. Miller, P. J. Cargill, A. G. Emsile, et al., J. Geophys. Res. 102, 14631 (1997).
V. M. Nakariakov, L. Ofman, E. E. DeLuca, et al., Science 285, 862 (1999).
E. N. Parker, Phys. Today 53, 26 (2000).
S. B. Pikelner, Fundamentals of Cosmic Electrodynamics (NASA, Washington, DC, 1964; Nauka, Moscow, 1966).
B. Roberts, in Advances in Solar System Magnetohydrodynamics, Ed. by E. R. Priest and A. W. Wood (Cambridge Univ. Press, Cambridge, 1991; Mir, Moscow, 1995).
B. Roberts, P. M. Edwin, and A. O. Benz, Astron. Astrophys. 279, 857 (1984).
M. R. Ryutova, Zh. éksp. Teor. Fiz. 94(8), 138 (1988) [Sov. Phys. JETP 67, 1594 (1988)].
H. C. Spruit, Sol. Phys. 75, 3 (1982).
B. A. Trubnikov, Theory of Plasma (énergoatomizdat, Moscow, 1996).
C. J. Schrijver and D. S. Brown, Astrophys. J. Lett. 537, L69 (2000).
C. J. Schrijver et al., Astrophys. J. Lett. 520, L888 (1999).
C. J. Schrijver, A. M. Title, T. E. Berger, et al., Sol. Phys. 187, 261 (1999).
Y. T. Tsap, Sol. Phys. 194, 131 (2000).
G. N. Watson, Treatise on the Theory of Bessel Functions (Cambridge University Press, Cambridge, 1945; Inostrannaya Literatura, Moscow, 1949).
V. V. Zaitsev and A. V. Stepanov, Issled. Geomagn., Aéron. Fiz. Solntsa 37, 3 (1975).
Author information
Authors and Affiliations
Additional information
__________
Translated from Pis’ma v Astronomicheski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Zhurnal, Vol. 27, No. 11, 2001, pp. 859–866.
Original Russian Text Copyright © 2001 by Tsap, Kopylova.
Rights and permissions
About this article
Cite this article
Tsap, Y.T., Kopylova, Y.G. Acoustic damping of fast kink oscillations of coronal loops. Astron. Lett. 27, 737–744 (2001). https://doi.org/10.1134/1.1415864
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1134/1.1415864