Chaotic particle motion in Coulomb electric and uniform magnetic fields

Physics

Scientific paper

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Chaos, Coulomb Potential, Electric Fields, Magnetic Fields, Particle Motion, Plasma Dynamics, Equations Of Motion, Particle Trajectories

Scientific paper

In an attractive Coulomb electric field and a uniform magnetic field B, some particle orbits originating at infinite distance undergo many reflections, repeatedly approaching the Coulomb center. The chaotic nature of these orbits is discussed and illustrated by numerical calculations. The divergence of neighboring trajectories is shown to occur mostly in discrete jumps when they pass near the Coulomb center. The appearance of chaotic behavior in this simplified situation suggests that it will also occur when space-charge effects significantly perturb the potential distribution around a current-collecting electrode in a space magnetoplasma.

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