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Analytical treatment of particle motion in circularly polarized slab-mode wave fields

Published online by Cambridge University Press:  30 January 2018

Cedric Schreiner*
Affiliation:
Max-Planck-Institute for Solar System Research, Justus-von-Liebig-Weg 3, DE-37077 Göttingen, Germany
Rami Vainio
Affiliation:
Department of Physics and Astronomy, University of Turku, FI-20014 Turku, Finland
Felix Spanier
Affiliation:
Centre for Space Research, North-West University, 2520 Potchefstroom, South Africa
*
Email address for correspondence: [email protected]

Abstract

Wave–particle interaction is a key process in particle diffusion in collisionless plasmas. We look into the interaction of single plasma waves with individual particles and discuss under which circumstances this is a chaotic process, leading to diffusion. We derive the equations of motion for a particle in the fields of a magnetostatic, circularly polarized, monochromatic wave and show that no chaotic particle motion can arise under such circumstances. A novel and exact analytic solution for the equations is presented. Additional plasma waves lead to a breakdown of the analytic solution and chaotic particle trajectories become possible. We demonstrate this effect by considering a linearly polarized, monochromatic wave, which can be seen as the superposition of two circularly polarized waves. Test particle simulations are provided to illustrate and expand our analytical considerations.

Type
Research Article
Copyright
© Cambridge University Press 2018 

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