Transport equation techniques for the deposition of auroral electrons

Details Transport equation techniques for the deposition of auroral electrons Transport equation techniques for the deposition of auroral electrons

Jun 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976jgr....81.2755s&link_type=abstract

Journal of Geophysical Research, vol. 81, June 1, 1976, p. 2755-2764. Research supported by the U.S. Defense Nuclear Agency.

Physics

18

Auroral Zones, Boltzmann Transport Equation, Electron Precipitation, Electron Scattering, Energy Dissipation, Fokker-Planck Equation, Eigenvalues, Electron Energy, Energy Spectra, Numerical Integration

Scientific paper

Auroral electron scattering and energy loss are calculated by using a multiangle equation of transfer at all energies. The results are compared with those obtained by using a Fokker-Planck equation. Both equations have been solved in terms of their eigensolutions. The equation of transfer has also been solved by numerical integration. Fokker-Planck solutions agree well with equation of transfer solutions above 3 keV but deviate increasingly at lower energies. The accuracy of integration of the transfer equations is tested by comparing results obtained by the eigenvalue method and the direct integration method. Differences of less than 5% were found at all altitudes, energies, and pitch angles. Solutions to the equation of transfer are given between 10 eV and 20 keV, based on a measured auroral electron spectrum. These solutions are compared with similar results by Banks et al. (1974). The results agree above 3 keV but differ below that energy, a finding which is consistent with our comparisons of solutions of the equation of transfer and the Fokker-Planck equation.

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