Charged particle motion in a strong magnetic field: Applications to plasma confinement

2025/04/05 by Boscain, Ugo, Gerner, Wadim
#34A45 #35Q85 #37N20 #41A25 #76W05 #78A30 #78A35 #78A55 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Plasma Physics (physics.plasm-ph)

paper · doi:10.48550/arxiv.2504.04165

Abstract

We derive the zero order approximation of a charged particle under the influence of a strong magnetic field in a mathematically rigorous manner and clarify in which sense this approximation is valid. We use this to further rigorously derive a displacement formula for the pressure of plasma equilibria and compare our findings to results in the physics literature. The main novelty of our results is a qualitative estimate of the confinement time for optimised plasma equilibria with respect to the gyro frequency. These results are of interest in the context of plasma fusion confinement.

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