Skip to main content
Log in

Particle saturation of the outer zone: A nonlinear model

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

Properties of the steady state and transient behavior of geomagnetically trapped radiation are analyzed by means of phenomenological equations that concisely summarize the operative dynamical processes. The equations provide for a realistic coupling between electromagnetic wave energy, particle intensity, and pitch-angle anisotropy in the context of the outer zone. Applications include magnetospheric enforcement of a limit on stably trapped particle flux. the smooth transition between weak pitch-angle diffusion and strong diffusion, parasitic particle precipitation by natural and man-made radio signals, natural and artificial injections of trapped radiation, and the consequences of magnetospheric cold-plasma injection.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Brice, N.: 1971,J. Geophys. Res. 76, 4698.

    Google Scholar 

  • Coppi, B. and Mazzucato, E.: 1971,Phys. Fluids 14, 134.

    Google Scholar 

  • Cornwall, J. M.: 1965,J. Geophys. Res. 70, 61.

    Google Scholar 

  • Cornwall, J. M.: 1968,Radio Sci. 3, 740.

    Google Scholar 

  • Cornwall, J. M., Coroniti, F. V., and Thorne, R. M.: 1970,J. Geophys. Res. 75, 4699.

    Google Scholar 

  • Cornwall, J. M., Hilton, H. H., and Mizera, P. F.: 1971,J. Geophys. Res. 76, 5220.

    Google Scholar 

  • Dum, C. T. and Dupree, T. H.: 1970,Phys. Fluids 13, 2064.

    Google Scholar 

  • Dupree, T. H.: 1966,Phys. Fluids 9, 1773.

    Google Scholar 

  • Farley, D. T.: 1963,J. Geophys. Res. 68, 6083.

    Google Scholar 

  • Forslund, D. W.: 1970,Trans. Am. Geophys. Union 51, 405.

    Google Scholar 

  • Hasegawa, A.: 1970a,Trans. Am. Geophys. Union 51, 396.

    Google Scholar 

  • Hasegawa, A.: 1970b,Phys. Rev. Letters 24, 1162.

    Google Scholar 

  • Kadomtsev, B. B.: 1965,Plasma Turbulence, Academic Press, New York.

    Google Scholar 

  • Kennel, C. F.: 1969,Rev. Geophys. 7, 379.

    Google Scholar 

  • Kennel, C. F. and Petschek, H. E.: 1966,J. Geophys. Res. 71, 1.

    Google Scholar 

  • Kennel, C. F. and Petschek, H. E.: 1969, in G. Kalman and M. Feix (eds.),Nonlinear Effects in Plasmas, Gordon and Breach, London, p. 95.

    Google Scholar 

  • Kindel, J. M. and Kennel, C. F.: 1971,J. Geophys. Res. 76, 3055.

    Google Scholar 

  • Lampton, M.: 1967,J. Geophys. Res. 72, 5817.

    Google Scholar 

  • Roberts, C. S.: 1969,Rev. Geophys. 7, 305.

    Google Scholar 

  • Rowlands, J., Shapiro, V. D., and Shevchenko, V. I.: 1966,Soviet Phys. JETP 23, 651.

    Google Scholar 

  • Schulz, M.: 1972,Phys. Fluids 15, 2448.

    Google Scholar 

  • Schulz, M. and Lanzerotti, L. J.: 1974,Particle Diffusion in the Radiation Belts, Springer, New York, p. 76.

    Google Scholar 

  • Thorne, R. M. and Kennel, C. F.: 1967,J. Geophys. Res. 72, 857.

    Google Scholar 

  • Vedenov, A. A., Velikhov, E. P., and Sagdeev, R. Z.: 1962,Nuclear Fusion Supplement 2, 465.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schulz, M. Particle saturation of the outer zone: A nonlinear model. Astrophys Space Sci 29, 233–242 (1974). https://doi.org/10.1007/BF00642726

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00642726

Keywords

Navigation