Stationary distribution function for non-adiabatic particle motion in a one dimensional current sheet

Statistics – Computation

Scientific paper

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Current Sheets, Distribution Functions, Geomagnetic Tail, Nonadiabatic Conditions, Particle Motion, Atmospheric Scattering, Geomagnetism

Scientific paper

The problem of pitch angle scattering in field configurations similar to those found in the geomagnetic tail has been studied previously by Tsyganenko (1982). Tsyganenko used a scattering matrix to map pitch angle distributions through the current sheet. By using numerical solutions of the resulting integral equations he showed for weakly non-adiabatic particles the Stationary Distribution Function (SDF) was isotropic. Using his procedure the SDF was found to develop anisotropies with increasing non-adiabaticity. The work presented here shows analytically that for any degree of scattering the SDF must be isotropic for a general planar field reversal. Computations of particle trajectories have been used to verify some aspects of the analytic work.

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