Charged particle motion in a strong magnetic field: Applications to plasma confinement
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908829584719872 |
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| author | Boscain, Ugo Gerner, Wadim |
| author_facet | Boscain, Ugo Gerner, Wadim |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_04165 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Charged particle motion in a strong magnetic field: Applications to plasma confinement Boscain, Ugo Gerner, Wadim Mathematical Physics Classical Analysis and ODEs Plasma Physics 34A45, 35Q85, 37N20, 41A25, 76W05, 78A30, 78A35, 78A55 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. |
| title | Charged particle motion in a strong magnetic field: Applications to plasma confinement |
| topic | Mathematical Physics Classical Analysis and ODEs Plasma Physics 34A45, 35Q85, 37N20, 41A25, 76W05, 78A30, 78A35, 78A55 |
| url | https://arxiv.org/abs/2504.04165 |