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

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.

arXiv comment23 pages. Some additional remarks and an explicit example with a figure have been added. Minor typos were corrected. The main results/conclusions remained unchanged

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