Control of a Uniformly Magnetized Plasma with External Electric Fields
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911520604028928 |
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| author | Chen, Peiyi Jorge, Rogerio Li, Qin Yue, Yukun |
| author_facet | Chen, Peiyi Jorge, Rogerio Li, Qin Yue, Yukun |
| contents | Stabilizing plasma dynamics through externally applied electric and magnetic fields is a fundamental control problem. We study this question for a plasma evolving under a uniform external magnetic field. Although the governing dynamics are nonlinear, a linear analysis based on the Laplace-Fourier transform yields actionable insight. In particular, by controlling the location of the roots of the dispersion relation, we propose a general control strategy that restores stability, with the free-streaming solution recovered as a special case. Numerical experiments for Gaussian equilibria and for the Dory-Guest-Harris instability show that the proposed control suppresses the unstable modes and stabilizes the dynamics, in agreement with our theoretical predictions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_07988 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Control of a Uniformly Magnetized Plasma with External Electric Fields Chen, Peiyi Jorge, Rogerio Li, Qin Yue, Yukun Plasma Physics Numerical Analysis Analysis of PDEs Stabilizing plasma dynamics through externally applied electric and magnetic fields is a fundamental control problem. We study this question for a plasma evolving under a uniform external magnetic field. Although the governing dynamics are nonlinear, a linear analysis based on the Laplace-Fourier transform yields actionable insight. In particular, by controlling the location of the roots of the dispersion relation, we propose a general control strategy that restores stability, with the free-streaming solution recovered as a special case. Numerical experiments for Gaussian equilibria and for the Dory-Guest-Harris instability show that the proposed control suppresses the unstable modes and stabilizes the dynamics, in agreement with our theoretical predictions. |
| title | Control of a Uniformly Magnetized Plasma with External Electric Fields |
| topic | Plasma Physics Numerical Analysis Analysis of PDEs |
| url | https://arxiv.org/abs/2509.07988 |