A class of high-beta, large-aspect-ratio quasiaxisymmetric Palumbo-like configurations
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914051823501312 |
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| author | Brown, Andrew Sengupta, Wrick Nikulsin, Nikita Bhattacharjee, Amitava |
| author_facet | Brown, Andrew Sengupta, Wrick Nikulsin, Nikita Bhattacharjee, Amitava |
| contents | The space of high-beta, approximately quasiaxisymmetric, large-aspect-ratio stellarator configurations is explored using an inverse coordinate approach and a quadratic polynomial ansatz for the flux function, following the method of Palumbo, extended by Hernandes and Clemente. This approach yields a system of nonlinear ODEs that, when solved, give equilibria exhibiting positive or negative triangularity, cusps, and (in an extreme limit) current singularities. It is shown that a cubic ansatz may also be used, but that polynomials of degree four or higher will lead to overdetermination. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_17528 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A class of high-beta, large-aspect-ratio quasiaxisymmetric Palumbo-like configurations Brown, Andrew Sengupta, Wrick Nikulsin, Nikita Bhattacharjee, Amitava Plasma Physics The space of high-beta, approximately quasiaxisymmetric, large-aspect-ratio stellarator configurations is explored using an inverse coordinate approach and a quadratic polynomial ansatz for the flux function, following the method of Palumbo, extended by Hernandes and Clemente. This approach yields a system of nonlinear ODEs that, when solved, give equilibria exhibiting positive or negative triangularity, cusps, and (in an extreme limit) current singularities. It is shown that a cubic ansatz may also be used, but that polynomials of degree four or higher will lead to overdetermination. |
| title | A class of high-beta, large-aspect-ratio quasiaxisymmetric Palumbo-like configurations |
| topic | Plasma Physics |
| url | https://arxiv.org/abs/2506.17528 |