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Limiting energy spectrum of an electron radiation belt


AuthorSummers, Danny; Shi, Run;
Keywordslimiting trapped flux; Radiation belts
AbstractTo determine the Kennel-Petschek limiting particle flux in a planetary radiation belt in a fully relativistic regime, without assuming a predetermined form for the particle energy distribution, has been a long-standing challenge in space physics. In this paper, for the case of whistler mode wave-electron interaction, we meet this challenge. The limiting flux is determined by a steady state marginal stability criterion in which a convective wave gain condition is applied over all frequencies for which wave growth occurs. This condition produces an integral equation for the trapped flux. We find that in the relativistic regime the limiting electron energy spectrum varies asymptotically as 1/E, for large energy E, just as in the nonrelativistic case. However, the scaling coefficient in the relativistic case is twice that in the nonrelativistic result. We compare numerical solutions for the limiting spectra with measured energetic electron spectra at Jupiter.
Year of Publication2014
JournalJournal of Geophysical Research: Space Physics
Volume119
Number of Pages6313-6326
Section
Date Published08/2014
ISBN
URLhttp://doi.wiley.com/10.1002/2014JA020250
DOI10.1002/2014JA020250