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arXiv · 2504.04165

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

Ugo Boscain·Wadim Gerner
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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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Ugo Boscain, Wadim Gerner. 2025-04-05. Charged particle motion in a strong magnetic field: Applications to plasma confinement. https://doi.org/10.1088/1361-6544%2Fae117a

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