Abstract
We consider a horizontally stratified isothermal model of the solar atmosphere, with vertical and uniform B 0, and v 2A ≫v 2 s . The equations of motion are linearized about a background which is in hydrostatic equilibrium. A homogeneous wave equation results for the motions perpendicular to B 0; this wave equation is similar to the equation for the MHD fast mode. On the other hand, the equation for the parallel motions is inhomogeneous, containing ‘driving terms’ which arise from the presence of the fast mode; the homogeneous form of this equation is identical to the equation describing vertically-propagating gravity-modified acoustic waves. We demonstrate that a resonance can exist between the (driving) fast wave and the (driven) gravity-modified acoustic wave, in such a way that very large parallel velocities can be driven by small perpendicular velocities. Applications of this resonance to solar spicules, ‘jets’, and other phenomena are discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ando, H. and Osaki, Y.: 1975, Publ. Astron. Soc. Japan 27, 581.
Ando, H. and Osaki, Y.: 1977, Publ. Astron. Soc. Japan 29, 221.
Beckers, J. M.: 1972, Ann. Rev. Astron. Astrophys. 10, 73.
Beckers, J. M. and Canfield, R. C.: 1975, Air Force Cambridge Research Labs, AFCRL-TR-75-0592.
Brueckner, G. E., Bartoe, J.-D. F., and Van Hoosier, M. E.: 1977, Proceedings of the November 7–10 1977 OSO-8 Workshop, University of Colorado, Boulder, p. 380.
Canfield, R. C. and Beckers, J. M.: 1975, Air Force Cambridge Research Labs, AFCRL-TR-75-0592.
Deubner, F.-L.: 1975, Astron. Astrophys. 44, 371.
Deubner, F.-L.: 1976, in R.-M. Bonnet and Ph. Delache (eds.), ‘The Energy Balance and Hydrodynamics of the Solar Chromosphere and Corona’, IAU Colloq. 36, 45.
Deubner, F.-L.: 1977, Proceedings of the November 7–10 1977 OSO-8 Workshop, University of Colorado, Boulder, p. 295.
Hollweg, J. V.: 1972, Cosmic Electrodyn. 2, 423.
Hollweg, J. V.: 1978a, Solar Phys. 56, 305.
Hollweg, J. V.: 1978b, Geophys. Res. Letters 5, 731.
Ionson, J. A.: 1977, Ph.D. Thesis, University of Maryland, College Park.
Ionson, J. A.: 1978, Astrophys. J. 226, 650.
Leibacher, J.: 1977, Proceedings of the November 7–10 1977 OSO-8 Workshop, University of Colorado, Boulder, p. 311.
Nye, A. H. and Thomas, J. H.: 1974, Solar Phys. 38, 399.
Nye, A. H. and Thomas, J. H.: 1976a, Astrophys. J. 204, 573.
Nye, A. H. and Thomas, J. H.: 1976b, Astrophys. J. 204, 582.
Pikelner, S. B.: 1971, Comm. Astrophys. Space Phys. 3, 33.
Stein, R. F. and Leibacher, J. W.: 1974, Ann. Rev. Astron. Astrophys. 12, 407.
Ulrich, R. K.: 1970, Astrophys. J. 162, 993.
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. A new resonance in the solar atmosphere. Sol Phys 62, 227–240 (1979). https://doi.org/10.1007/BF00155355
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00155355