Abstract
The linearized propagation of axisymmetric twists on axisymmetric vertical flux tubes is considered. Models corresponding to both open (coronal hole) and closed (active region loops) flux tubes are examined. Principal conclusions are: Open flux tubes: (1) With some reservations, the model can account for long-period (T ≈ 1 hr) energy fluxes which are sufficient to drive solar wind streams. (2) The waves are predicted to exert ponderomotive forces on the chromosphere which are large enough to alter hydrostatic equilibrium or to drive upward flows. Spicules may be a consequence of these forces. (3) Higher frequency waves (10 s ≲ T ≲ few min) are predicted to carry energy fluxes which are adequate to heat the chromosphere and corona. Nonlinear mechanisms may provide the damping. Closed flux tubes: (1) Long-period (T ≈ 1 hr) twists do not appear to be energetically capable of providing the required heating of active regions. (2) ‘Loop resonances’ are found to occur as a result of waves being stored in the corona via reflections at the transition zones. The loop resonances act much in the manner of antireflectance coatings on camera lenses, and allow large energy fluxes to enter the coronal loops. The resonances may also be able to account for the observed fact that longer coronal loops require smaller energy flux densities entering them from below. (3) The waves exert large upward and downward forces on the chromosphere and corona.
Similar content being viewed by others
References
Barnes, A.: 1966, Phys. Fluids 9, 1483.
Barnes, A. and Hollweg, J. V.: 1974, J. Geophys. Res. 79, 2302.
Braginskii, S. I.: 1965, Rev. Plasma Phys. 1, 205.
Canfield, R. C. and Beckers, J. M.: 1975, Air Force Cambridge Res. Labs, AFCRL-TR-75-0592.
Chandrasekhar, S.: 1961, Hydrodynamic and Hydromagnetic Stability, Oxford.
Chin, Y. and Wentzel, D. G.: 1972, Astrophys. Space Sci. 16, 465.
Deubner, F. L.: 1976, Astron. Astrophys. 51, 189.
Drake, J. F. and Lee, Y. C.: 1977, Phys. Fluids 20, 1341.
Gabriel, A. H.: 1976, in R. M. Bonnet and Ph. Delache (eds.), ‘Energy Balance and Hydrodynamics of the Solar Chromosphere and Corona’, IAU Colloq. 36, 375.
Gingerich, O., Noyes, R. W., Kalkofen, W., and Cuny, Y.: 1971, Solar Phys., 18, 347.
Goldstein, M. L., Klinas, A. J., and Barrish, F. D.: 1974, in C. T. Russell (ed.), Solar Wind Three, Univ. of California Press, Los Angeles, p. 385.
Hollweg, J. V.: 1971, J. Geophys. Res. 76, 5155.
Hollweg, J. V.: 1972, Cosmic Electrodyn. 2, 423.
Hollweg, J. V.: 1978a, Solar Phys. 56, 305.
Hollweg, J. V.: 1978b, Rev. Geophys. Space Phys. 16, 689.
Hollweg, J. V. and Lilliequist, C. G.: 1978, J. Geophys. Res. 83, 2030.
Huber, M. C. E., Foukal, P. V., Noyes, R. W., Reeves, E. M., Schmahl, E. J. Timothy, J. G., Vernazza, J. E., and Withbroe, G. L.: 1974, Astrophys. J. 194, L115.
Hung, R. J. and Barnes, A.: 1973a, Astrophys. J. 180, 253.
Hung, R. J. and Barnes, A.: 1973b, Astrophys. J. 180, 271.
Hung, R. J. and Barnes, A.: 1973c, Astrophys. J. 181, 183.
Ionson, J.: 1978, Astrophys. J. 226, 650.
Kaplan, S. A. and Tsytovich, V. N.: 1973, Plasma Astrophysics, Pergamon.
Levine, R.: 1978, J. Geophys. Res. 83, 4193.
Malik, F. B. and Trehan, S. K.: 1965, Ann. Phys. 34, 1.
Munro, R. and Jackson, B. V.: 1977, Astrophys. J. 213, 874.
Nye, A. and Hollweg, J. V.: 1980, Solar Phys. 68, 279.
Osterbrock, D. E.: 1961, Astrophys. J. 134, 347.
Parker, E. N.: 1974, Astrophys. J. 191, 245.
Rosner, R., Tucker, W. H., and Vaiana, G. S.: 1978a, Astrophys. J. 220, 643.
Rosner, R., Golub, L., Coppi, B., and Vaiana, G. S.: 1978b, Astrophys. J. 222, 317.
Spruit, H.: 1976, Solar Phys. 50, 269.
Tucker, W. H.: 1973, Astrophys. J. 186, 285.
van de Hulst, H. C.: 1953, in G. Kuiper (ed.), The Sun, Univ. of Chicago Press, Chicago.
Vernazza, J. E., Avrett, E. H., and Loeser, R.: 1973, Astrophys. J. 184, 605.
Wentzel, D. G.: 1977, Solar Phys. 52, 163.
Wentzel, D. G.: 1978, Rev. Geophys. Space Phys. 16, 757.
Withbroe, G. L., Jaffe, D. T., Foukal. P. V., Huber, M. C. E., Noyes, R. W., Reeves, E. M., Schmahl, E. J., Timothy, J. G., and Vernazza, J. E.: 1976, Astrophys. J. 203, 528.
Author information
Authors and Affiliations
Additional information
The National Center for Atmospheric Research is sponsored by the National Science Foundation.
Rights and permissions
About this article
Cite this article
Hollweg, J.V. Alfvén waves in the solar atmosphere. Sol Phys 70, 25–66 (1981). https://doi.org/10.1007/BF00154391
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00154391