Abstract
Distributions with excess numbers of superthermal particles are common in space environments. They are well modelled by the isotropic kappa distribution, or, where magnetic effects are important, the kappa-Maxwellian. This paper presents a review of some studies of electrostatic and electromagnetic waves in such plasmas, based on the associated generalized plasma dispersion functions, Z κ and Z κM. In particular, the effects of low values of κ are considered, i.e. strongly accelerated distribution functions. Recently the full susceptibility tensor for oblique propagation of electromagnetic waves in a kappa-Maxwellian magnetoplasma has been established and has been applied to the study of whistler waves.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Benson, R. F., Osherovich, V. A., Fainberg, J., and Reinisch, B. W.: 2003, J. Geophys. Res. 108, 1207, doi:10.1029/2002JA009589.
Bryant, D. A.: 1996, J. Plasma Phys. 56, 87.
Cattaert, T., Hellberg, M. A., and Mace, R. L.: 2005, Private communication.
Chateau, Y. F., and Meyer-Vernet, N.: 1991, J. Geophys. Res. 96, 5825.
Christon, S. P., Mitchell, D. G., Williams, D. J., Frank, L. A., Huang, C. Y., and Eastman, T. E.: 1988, J. Geophys. Res. 93, 2562.
Daróczy, Z.: 1970, Inf. Control 16, 36.
Feldman, W. C., Asbridge, J. R., Bame, S. J., and Montgomery, M. D.: 1973, J. Geophys. Res. 78, 3697.
Feldman, W. C., Anderson, R. C., Asbridge, J. R., Bame, S. J., Gosling, J. T., and Zwickl, R. D.: 1982, J. Geophys. Res. 87, 632.
Feldman, W. C., Anderson, R. C., Bame, S. J., Gary, S. P., Gosling, J. T., McComas, D. J., Thomsen, M. F., Paschmann, G., and Hoppe, M. M.: 1983, J. Geophys. Res. 88, 96.
Fried, B. D., and Conté, S. D.: 1961, The Plasma Dispersion Function, Academic, New York, U.S.A.
Hellberg, M. A., and Mace, R. L.: 2002, Phys. Plasmas 9, 1495.
Hellberg, M. A., Mace, R. L., Armstrong, R. J., and Karlstad, G.: 1998, in J. Stöckel, et al. (eds.), Int. Conf. on Plasma Phys. and EPS Conf. on Fusion and Plasma Phys., European Physical Society, Praha, Czech Republic, Vol. 1, p. 2065.
Hellberg, M. A., Mace, R. L., and Verheest, F.: 2000a, in F. Verheest, M. Goossens, M. A. Hellberg, and R. Bharuthram (eds.), Waves in Dusty, Solar, and Space Plasmas, AIP Conference Proceedings 537, American Institute of Physics, Melville, NY, USA p. 348.
Hellberg, M. A., Mace, R. L., Armstrong, R. J., and Karlstad, G.: 2000b, J. Plasma Phys. 64, 433.
Karlstad, G., Trulsen, J., and Armstrong, R. J.: 1984, Proc. Int. Conf. Plasma Phys., Lausanne, Switzerland p. 12.
Leubner, M. P.: 1983, J. Geophys. Res. 88, 469.
Leubner, M. P.: 2004, Phys. Plasmas 11, 1308.
Mace, R. L.: 1996a, J. Plasma Phys. 55, 415.
Mace, R. L.: 1996b, Phys. Scr. T63, 207.
Mace, R. L.: 1998, J. Geophys. Res. 103, 14643.
Mace, R. L.: 2003, Phys. Plasmas 10, 2181.
Mace, R. L.: 2004, Phys. Plasmas 11, 507.
Mace, R. L., and Hellberg, M. A.: 1990, J. Plasma Phys. 43, 239.
Mace, R. L., and Hellberg, M. A.: 1993, J. Geophys. Res. 98, 5881.
Mace, R. L., and Hellberg, M. A.: 1995, Phys. Plasmas 2, 2098.
Mace, R. L., and Hellberg, M. A.: 2003, Phys. Plasmas 10, 21.
Mace, R. L., Amery, G., and Hellberg, M. A.: 1999, Phys. Plasmas 6, 44.
Mace, R. L., Hellberg, M. A., and Treumann, R. A.: 1996, in H. Sugai and T. Hayashi (eds.), Int. Conf. on Plasma Phys., Japan Society of Plasma Science and Nuclear Research, Tokyo, Japan, Vol. 1, p. 6.
Mace, R. L., Hellberg, M. A., and Treumann, R. A.: 1998, J. Plasma Phys. 59, 393.
Maksimovic, M., Pierrard, V., and Lemaire, J. F.: 1997, Astron. Astrophy. 324, 725.
Marsch, E.: 1991, in R. Schwenn and E. Marsch (eds.), Physics of the Inner Heliosphere, Springer-Verlag, Berlin, Germany, Vol. 2, p. 45.
Meng, Z., Thorne, R. M., and Summers, D.: 1992, J. Plasma Phys. 47, 445.
Pierrard, V., and Lemaire, J. F.: 1996, J. Geophys. Res. 101, 7923.
Pierrard, V., Maksimovic, M., and Lemaire, J. F.: 1999, J. Geophys. Res. 104, 17021.
Podesta, J. J.: 2005, Phys. Plasmas 12, 052101.
Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T.: 1992, Numerical Recipes: The Art of Scientific Computing, 2nd ed., Cambridge University Press, Cambridge, UK, pp. 208–211, 271–273.
Schriver, D., and Ashour-Abdalla, M.: 1987, J. Geophys. Res. 92, 5807.
Stix, T. H.: 1992, Waves in Plasmas, 2nd ed., American Institute of Physics, New York, U.S.A.
Summers, D., and Thorne, R. M.: 1990, J. Geophys. Res. 95, 1133.
Summers, D., and Thorne, R. M.: 1991a, Phys. Fluids B 3, 1835.
Summers, D., and Thorne, R. M.: 1991b, Phys. Fluids B 3, 2117.
Summers, D., and Thorne, R. M.: 1992, J. Geophys. Res. 97, 16827.
Swanson, D. G.: 2003, Plasma Waves, 2nd ed., Institute of Physics, Bristol, UK.
Thorne, R. M., and Summers, D.: 1991, J. Geophys. Res. 96, 217.
Tokar, R. L., and Gary, S. P.: 1984, Geophys. Res. Lett. 11, 1180.
Treumann, R. A.: 2001, Astrophys. Space Sci. 277, 81.
Treumann, R. A., Jaroschek, C. H. and Scholer, M.: 2004, Phys. Plasmas 11, 1317.
Tsallis, C.: 1988, J. Stat. Phys. 52, 479.
Vasyliunas, V. M.: 1968, J. Geophys. Res. 73, 2839.
Vinas, A. F., Mace, R. L., and Benson, R. F.: 2005, J. Geophys. Res. 110, A06202, doi:10.1029/ 2004JA010967.
Xue, S., Thorne, R. M., and Summers, D.: 1993, J. Geophys. Res. 98, 17475.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hellberg, M., Mace, R. & Cattaert, T. Effects of Superthermal Particles on Waves in Magnetized Space Plasmas. Space Sci Rev 121, 127–139 (2005). https://doi.org/10.1007/s11214-006-5024-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11214-006-5024-1