Pfirsch-Schlüter Current
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866916040372387840 |
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| author | Boozer, Allen H |
| author_facet | Boozer, Allen H |
| contents | The Pfirsch-Schlüter current is a current that flows along the magnetic field lines in a toroidal plasma equilibrium that is required to make the plasma current density divergence free in the presence of a plasma-pressure gradient. A distortion in the plasma shape is caused by the Pfirsch-Schlüter current, and it is desirable to minimize both the strength and the distance this current flows along the magnetic field lines. The Pfirsch-Schlüter current is localized within a half period of a stellarator when $d\ell/B$ integrated over the half period is the same for all lines in the magnetic surface. It is shown that within parts in a thousand this is the same condition as the distance $\ell_{p/2}$ required for a field line to cross the half period being the same for all lines in the surface. To make the $\ell_{p/2}$'s the same, the lines started on the small major radius side of the plasma must undergo wiggles to make their $\ell_{p/2}$ as long as those started on the outboard side. This is achievable either using modular coils with a large helical component on the small major radius side or with a central column carrying a helical current. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_21637 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Pfirsch-Schlüter Current Boozer, Allen H Plasma Physics The Pfirsch-Schlüter current is a current that flows along the magnetic field lines in a toroidal plasma equilibrium that is required to make the plasma current density divergence free in the presence of a plasma-pressure gradient. A distortion in the plasma shape is caused by the Pfirsch-Schlüter current, and it is desirable to minimize both the strength and the distance this current flows along the magnetic field lines. The Pfirsch-Schlüter current is localized within a half period of a stellarator when $d\ell/B$ integrated over the half period is the same for all lines in the magnetic surface. It is shown that within parts in a thousand this is the same condition as the distance $\ell_{p/2}$ required for a field line to cross the half period being the same for all lines in the surface. To make the $\ell_{p/2}$'s the same, the lines started on the small major radius side of the plasma must undergo wiggles to make their $\ell_{p/2}$ as long as those started on the outboard side. This is achievable either using modular coils with a large helical component on the small major radius side or with a central column carrying a helical current. |
| title | Pfirsch-Schlüter Current |
| topic | Plasma Physics |
| url | https://arxiv.org/abs/2605.21637 |