Guiding-centre Lagrangian and quasi-symmetry
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910901150416896 |
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| author | Jacobson, Ted |
| author_facet | Jacobson, Ted |
| contents | A charged particle in a suitably strong magnetic field spirals along the field lines while slowly drifting transversely. This note provides a brief derivation of an effective Lagrangian formulation for the guiding-centre approximation that captures this dynamics without resolving the gyro motion. It also explains how the effective Lagrangian may, for special magnetic fields, admit a 'quasi-symmetry' which can give rise to a conserved quantity helpful for plasma confinement in fields lacking a geometric isometry. The aim of this note is to offer a pedagogical introduction and some perspectives on this well-established subject. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05919 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Guiding-centre Lagrangian and quasi-symmetry Jacobson, Ted Plasma Physics High Energy Physics - Theory Mathematical Physics Geophysics A charged particle in a suitably strong magnetic field spirals along the field lines while slowly drifting transversely. This note provides a brief derivation of an effective Lagrangian formulation for the guiding-centre approximation that captures this dynamics without resolving the gyro motion. It also explains how the effective Lagrangian may, for special magnetic fields, admit a 'quasi-symmetry' which can give rise to a conserved quantity helpful for plasma confinement in fields lacking a geometric isometry. The aim of this note is to offer a pedagogical introduction and some perspectives on this well-established subject. |
| title | Guiding-centre Lagrangian and quasi-symmetry |
| topic | Plasma Physics High Energy Physics - Theory Mathematical Physics Geophysics |
| url | https://arxiv.org/abs/2408.05919 |