Abstract
We present a kinetic model of the heating and acceleration of coronal protons by outward-propagating ion-cyclotron waves on open, radial magnetic flux tubes. In contrast to fluid models which typically insist on bi-Maxwellian distributions and which spread the wave energy and momentum over the entire proton population, this model follows the kinetic evolution of the collisionless proton distribution function in response to the combination of the resonant wave-particle interaction and external forces. The approximation is made that pitch-angle scattering by the waves is faster than all other processes, resulting in proton distributions which are uniform over the resonant surfaces in velocity space. We further assume, in this preliminary version, that the waves are dispersionless so these resonant surfaces are portions of spheres centered on the radial sum of the Alfvén speed and the proton bulk speed. We incorporate the fact that only those protons with radial speeds less than the bulk speed will be resonant with outward-propagating waves, so this rapid interaction acts only on the sunward half of the distribution. Despite this limitation, we find that the strong perpendicular heating of the resonant particles, coupled with the mirror force, results in substantial outward acceleration of the entire distribution. The proton distribution evolves towards an incomplete shell in velocity space, and appears vastly different from the distributions assumed in fluid models. Evidence of these distinctive distributions should be observable by instruments on Solar Probe.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Axford, W. I. and McKenzie, J. R: 1996, in D. Winterhalter, J. T. Gosling, S. R. Habbai, W. S. Kurth and M. Neugebauer (eds.), Solar Wind Eight, AIP, Woodbury, NY, p. 72.
Cranmer, S. R., Field, G. B., and Kohl, J. L.: 1999, Astmphys. J. 518, 937.
Cranmer, S. R., Field, G. B., Noci, G., and Kohl, J. L.: 1997, in A. Wilson (ed.), Correlated Phenomena at the Sun, in the Heliosphere, and in Geospace, ESA, Noordwijk, p. 89.
Dusenbery, P. B. and Hollweg, J. V.: 1981, J. Geophys. Res. 86, 153.
Esser, R., Habbal, S. R., Coles, W. A., and Hollweg, J. V.: 1997, J. Geophys. Res. 102, 7063.
Esser, R., Fineschi, S., Dobrzycka, D., Habbal, S. R., Edgar, R. J., Raymond, J. C, Kohl, J. L., and Guhathakurta, M.: 1999, Astmphys. J. 510, L63.
Hollweg, J. V.: 1973, Astmphys. J. 181, 547.
Hollweg, J. V.: 1986, J. Geophys. Res. 91, 4111.
Hollweg, J. V.: 1999a, J. Geophys. Res. 104, 505.
Hollweg, J. V.: 1999b, J. Geophys. Res. 104, 24,781.
Hollweg, J. V.: 1999c, J. Geophys. Res. 104, 24,793.
Hollweg, J. V. and Johnson, W: 1988, J. Geophys. Res. 93, 9547.
Isenberg, P. A.: 1990, J. Geophys. Res. 95, 6437.
Isenberg, P. A.: 1997, J. Geophys. Res. 102, 4719.
Isenberg, P. A. and Lee, M. A.: 1996, J. Geophys. Res. 101, 11,055.
Kennel, C. F. and Engelmann, F.: 1966, Phys. Fluids 9, 2377.
Kohl, J. L., Noci, G., Antonucci, E., Tondello, G., Huber, M. C. E., Cranmer, S. R., Strachen, L., Panasyuk, A. V. et al.: 1998, Astmphys. J. 501, LI27.
Kohl, J. L., Esser, R., Cranmer, S. R., Fineschi, S., Gardner, L. D., Panasyuk, A. V., Strachen, L., Suleiman, R. M. et al.: 1999, Astmphys. J. 510, L59.
Kulsrud, R. M.: 1983, in A. A. Galeev and R. N. Sudan (eds.), Basic Plasma Physics I, North-Holland, New York, pp. 115–145.
Li, X.: 1999, J. Geophys. Res. 104, 19,773.
Li, X., Habbal, S. R., Hollweg, J. V., and Esser, R.: 1999, J. Geophys. Res. 104, 2521.
Marsch, E. and Tu, C.-Y: 1997, Astron. Astmphys. 319, L17.
McKenzie, J. F., Banaszkiewicz, M., and Axford, W. I.: 1995, Astmn. Astmphys. 303, 45.
Olsen, E. L. and Leer, E.: 1999, J. Geophys. Res. 104, 9963.
Rowlands, J., Shapiro, V. D., and Shevchenko, V. I.: 1966, Soviet Phys. JETP 23, 651.
Skilling, J.: 1971, Astmphys. J. 170, 265.
Tam, S. W. Y. and Chang, T: 1999, Geophys. Res. Lett. 26, 3189.
Tu, C.-Y. and Marsch, E.: 1997, Solar Phys. 171, 363.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Isenberg, P.A., Lee, M.A., Hollweg, J.V. (2001). A Kinetic Model of Coronal Heating and Acceleration by Ion-Cyclotron Waves: Preliminary Results. In: Engvold, O., Harvey, J.W. (eds) Physics of the Solar Corona and Transition Region. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0860-0_16
Download citation
DOI: https://doi.org/10.1007/978-94-010-0860-0_16
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-3846-1
Online ISBN: 978-94-010-0860-0
eBook Packages: Springer Book Archive