Analytical estimates of quasi-linear diffusion coefficients and electron lifetimes in the inner radiation belt

Details Analytical estimates of quasi-linear diffusion coefficients and electron lifetimes in the inner radiation belt Analytical estimates of quasi-linear diffusion coefficients and electron lifetimes in the inner radiation belt

Dec 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011agufmsm13b2080r&link_type=abstract

American Geophysical Union, Fall Meeting 2011, abstract #SM13B-2080

Physics

Plasma Physics

[7867] Space Plasma Physics / Wave/Particle Interactions

Scientific paper

The behaviour of trapped electrons in the Earth's radiation belts can be described in terms of relativistic quasi-linear diffusion by cyclotron-resonant plasma waves. Multidimensional dynamical simulations of the full belts require rapid and accurate evaluations of the diffusion coefficients. Recently developed approximations already allow replacing the integration over the wave-normal distribution by an evaluation at a carefully chosen point [Albert, 2007; Summers, 2005]. We present an approximate analytical formulation of the diffusion coefficients which is derived in the particular limits of both low frequency and moderately oblique waves. The final model accounts for both the integration over the wave-normal distribution and the summation over all the relevant n-harmonic resonances. Approximate averages of these coefficients over the bounce motion along a geomagnetic field line are also given. From them, a simplified analytical expression of the electron lifetimes is finally deduced. Detailed comparisons between the full numerical solution and both the analytical diffusion coefficients and the lifetimes are presented for different cases of resonant interactions of electrons with hiss waves inside the plasmasphere. A fair agreement is demonstrated.

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