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.
Keywords
Cite
@article{arxiv.2504.04165,
title = {Charged particle motion in a strong magnetic field: Applications to plasma confinement},
author = {Ugo Boscain and Wadim Gerner},
journal= {arXiv preprint arXiv:2504.04165},
year = {2026}
}
Comments
23 pages. Some additional remarks and an explicit example with a figure have been added. Minor typos were corrected. The main results/conclusions remained unchanged