Abstract
The modes of oscillation of a twisted magnetic flux tube in an incompressible medium are investigated analytically. An exact dispersion relation for the case of uniform twist is obtained. In contrast to the case of an untwisted incompressible tube, body, surface, and hybrid (surface-body) modes arise.
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References
Abramowitz, M. and Stegun, I. A.: 1967, Handbook of Mathematical Functions, Dover, Ch. 9.
Alfvén, H.: 1950, Tellus 2, 74.
Anzer, U.: 1968, Solar Phys. 3, 298.
Appert, K., Gruber, R., and Vaclavik, J.: 1974, Phys. Fluids 17, 1471.
Bogdan, T. J.: 1984, Astrophys. J. 282, 769.
Bray, R. J., Cram, L. E., Durrant, C. J, and Loughhead, R. E.: 1991, Plasma Loops in the Solar Corona, Cambridge University Press, Cambridge.
Dungey, J. W. and Loughhead, R. E.: 1954, Austr. J. Phys. 7, 5.
Edwin, P. M. and Roberts, B.: 1982, Solar Phys. 76, 239.
Edwin, P. M. and Roberts, B.: 1983, Solar Phys. 88, 179.
Fludra, A., Brekke, P., Harrison, R. A., Mason, H. E., Pike, C. D., Thompson, W. T., and Young, P. R.: 1997, Solar Phys. 175, 487.
Goedbloed, J. P.: 1971a, Physica 53, 412.
Goedbloed, J. P.: 1971b, Physica 53, 501.
Goedbloed, J. P.: 1971c, Physica 53, 535.
Goedbloed, J. P.: 1983, Lecture Notes on Ideal Magnetohydrodynamics, Rijnhuizen Rep. No. 83– 145.
Goedbloed, J. P. and Hagenbeuk, H. J. L.: 1972, Phys. Fluids 15, 1090.
Golub, L.: 1990, in P. Ulmschneider, E. R. Priest, and R. Rosner (eds.), Mechanisms of Chromospheric and Coronal Heating, Springer-Verlag, Berlin, p. 115.
Goossens, M.: 1991, in E. R. Priest and A. W. Hood (eds.), Advances in Solar System Magnetohydrodynamics, Cambridge University Press, Cambridge, p. 135.
Goossens, M., Ruderman, M. S., and Hollweg, J. V.: 1995, Solar Phys. 145, 19.
Hain, K. and Lüst, R.: 1958, Z. Naturforsch 13a, 936.
Linton, M. G., Longcope, D. W. and Fisher, G. H.: 1996, Astrophys. J. 469, 954.
Lundquist, S.: 1951, Phys. Rev. 83, 307.
Parker, E. N.: 1974, Astrophys. J. 191, 245.
Raadu, M.: 1972, Solar Phys. 22, 425.
Wright, A. N.: 1994, J. Geophys. Res. 99, 159.
Roberts, B.: 1981a, Solar Phys. 69, 27.
Roberts, B.: 1981b, Solar Phys. 69, 39.
Roberts, B., Edwin, P. M., and Benz, A. O.: 1984, Astrophys. J. 279, 857.
Roberts, P. H.: 1956, Astrophys. J. 124, 430.
Smith, J. M., Roberts, B., and Oliver, R.: 1997, Astron. Astrophys. 327, 377.
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Bennett, K., Roberts, B. & Narain, U. Waves in Twisted Magnetic Flux Tubes. Solar Physics 185, 41–59 (1999). https://doi.org/10.1023/A:1005141432432
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DOI: https://doi.org/10.1023/A:1005141432432