Second Order Correction to the Gradient/Curvature Drift Term of Cosmic Ray Transport in Heliospheric Magnetic Fields

Details Second Order Correction to the Gradient/Curvature Drift Term of Cosmic Ray Transport in Heliospheric Magnetic Fields Second Order Correction to the Gradient/Curvature Drift Term of Cosmic Ray Transport in Heliospheric Magnetic Fields

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002agufmsh71a..02b&link_type=abstract

American Geophysical Union, Fall Meeting 2002, abstract #SH71A-02

Physics

7807 Charged Particle Motion And Acceleration, 7819 Experimental And Mathematical Techniques, 7843 Numerical Simulation Studies, 7859 Transport Processes

Scientific paper

In heliospheric cosmic ray transport problems the equations contain particle gradient and curvature drift effects. When calculating the drifts, however, the velocities derived can often be greater than the speed of light despite the use of a relativistic expression. This problem is due to the breakdown of the guiding center approximation in the polar regions of the heliosphere. When the scale sizes of both magnetic field changes and particle gyroradii lengths are comparable, the usual first order guiding center approach is no longer valid. We derive here a correction term to the drifts in these regions using a second order expansion in the particle gyroradii. Several new terms emerge from our initial calculation, but when we average over pitch angle we reduce the final solution to a simple form that is straightforward to evaluate in any energetic particle transport or cosmic ray modulation problem. The effects that this can have on the modulation problem are explored here. We also illustrate these drifts using some simple particle orbit traces in the Parker magnetic field.

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