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

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.

💡 Research Summary

The paper presents a rigorous mathematical analysis of the motion of a charged particle in a strong magnetic field and applies the results to plasma confinement problems relevant to fusion devices. Starting from the Lorentz force law, the authors consider the normalized equation of motion

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