Limiting energy spectrum of a saturated radiation belt

Details Limiting energy spectrum of a saturated radiation belt Limiting energy spectrum of a saturated radiation belt

Jan 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988jgr....93...59s&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 93, Jan. 1, 1988, p. 59-76. Navy-DOE-supported research.

Physics

14

Charged Particles, Electron Cyclotron Heating, Energy Spectra, Magnetohydrodynamic Stability, Pitch (Inclination), Radiation Belts, Doppler Effect, Electron Energy, Energetic Particles, Maxwell-Boltzmann Density Function, Wave Packets

Scientific paper

The condition for magnetospheric wave growth in the presence of anisotropic charged particle distributions is used to extend the Kennel-Petschek theory that traditionally imposes an upper bound on the integral flux of charged particles at energies above a certain threshold to provide a limit on the differential flux at any energy above this threshold. A closed-form expression is derived for the limiting energy spectrum consistent with marginal occurrence of a magnetospheric maser at all wave frequencies below a certain fraction of the electron or proton gyrofrequency. The bounded integral can be recast in such a way that repeated differentiations with respect to v(parallel) actually generate a closed expression for the limiting form of the velocity space distribution, and thus for the limiting energy spectrum of the corresponding particles, whenever the anisotropy parameter is an integer.

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