Abstract
Discrete Alfvén waves in coronal loops and prominences are investigated in non-ideal magnetohydrodynamics. The non-ideal effects included are anisotropic, thermal conduction, and optically thin radiation. The classic ideal Alfvén continuum is not altered by these non-ideal effects, but the discrete Alfvén modes, which exist under certain conditions above or below the Alfvén continuum in ideal MHD, are shown to be influenced by non-adiabatic effects.
The existence of discrete, non-adiabatic Alfvén waves, and their damping and overstability are examined for 1D cylindrical equilibrium states with twisted magnetic fields. First, analytic results are obtained for modes of high radial order by means of a WKB-analysis. The subspectrum of discrete Alfvén modes is computed with a numerical code, with particular emphasis on the modes of low radial order. The results show that discrete Alfvén waves are of potential importance for solar applications and also that the information obtained with the WKB-analysis is of limited use in this context.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
An, C. H.: 1986,Astrophys. J. 304, 532.
Appert, K., Gruber, R., Troyon, F., and Vaclavik, J.: 1982,Plasma Phys. 24, 1147.
Balthazar, H., Knolker, M., Stellmacher, G., and Wiehr, E.: 1980,Astron. Astrophys. 163, 343.
Braginskii, S. I.: 1965,Rev. Plasma Phys. 1, 205.
Davis, C. L. and Donnelly, I. J.: 1986,Astrophys. Space Sci. 127, 265.
De Azevedo, C. A., De Assis, A. S., Shigueoka, H., and Sakanaka, P. H.: 1991a,Solar Phys. 131, 119.
De Azevedo, C. A., De Assis, A. S., Shigueoka, H., and Sakanaka, P. H.: 1991b,Solar Phys. 136, 295.
Donnelly, I. J., Clancy, B. E., and Cramer, N. F.: 1985,J. Plasma Phys. 34, 227.
De Chambrier, A., Cheetman, A. D., Heym, A., Hofmann, F., Joye, B., Keller, R., Lietti, A., Lister, J. B., and Pochelon, A.: 1982,Plasma Phys. 24, 893.
Goedbloed, J. P.: 1975,Phys. Fluids 18, 1258.
Goedbloed, J. P.: 1983,Lecture Notes on Ideal Magnetohydrodynamics, Rijnhuizen Report.
Goedbloed, J. P.: 1984,Physica 12D, 107.
Grad, H.: 1973,Proc. Natl. Acad. Sci. USA 70, 3277.
Hain, K. and Lüst, R.: 1958,Z. Naturforsch. 13a, 936.
Koutchmy, S., Zhugzhda, Y. D., and Locans, U.: 1983,Astron. Astrophys. 120, 185.
Mathews, J., Walker, R. L.: 1965,Mathematical Methods of Physics, W. A. Benjamin Inc., New York.
Mazur, V. A. and Stepanov, A. V.: 1984,Astron. Astrophys. 139, 467.
Murray, J. D.: 1974,Asymptotic Analysis, Clarendon Press, Oxford.
Poedts, S., Kerner, W., and Goossens, M.: 1989,J. Plasma Phys. 42, 27.
Rosner, R., Tucker, W. H., and Vaiana, G. S.: 1978,Astrophys. J. 220, 643.
Ross, D. W., Chen, G. L., and Mahajan, S. M.: 1982,Phys. Fluids 25, 652.
Sy, W. N.-C.: 1978,Phys. Fluids 21, 702.
Van der Linden, R. A. M. and Goossens, M.: 1991,Solar Phys. 134, 247.
Van der Linden, R. A. M. and Goossens, M.: 1993,Astrophys. J. (submitted).
Author information
Authors and Affiliations
Additional information
Research Assistant of the Belgian National for Scientific Research.
Rights and permissions
About this article
Cite this article
Keppens, R., Van Der Linden, R.A.M. & Goossens, M. Non-adiabatic discrete Alfvén waves in coronal loops and prominences. Sol Phys 144, 267–281 (1993). https://doi.org/10.1007/BF00627593
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00627593