Conefield approach to identifying regions without flux surfaces for magnetic fields
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909519453356032 |
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| author | Martinez-del-Rio, David MacKay, Robert S. |
| author_facet | Martinez-del-Rio, David MacKay, Robert S. |
| contents | The conefield variant of a Converse KAM method for 3D vector fields, identifying regions through which no invariant 2-tori pass transverse to a specified direction field, is tested on some helical perturbations of an axisymmetric magnetic field in toroidal geometry. This implementation computes bounds on the slopes of invariant tori of a given class and allows to apply a subsidiary criterion to extend the non-existence region, saving significant computation time. The method finds regions corresponding to magnetic islands and chaos for the fieldline flow. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_06796 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Conefield approach to identifying regions without flux surfaces for magnetic fields Martinez-del-Rio, David MacKay, Robert S. Plasma Physics Dynamical Systems 52.55.-s, 05.45.-a The conefield variant of a Converse KAM method for 3D vector fields, identifying regions through which no invariant 2-tori pass transverse to a specified direction field, is tested on some helical perturbations of an axisymmetric magnetic field in toroidal geometry. This implementation computes bounds on the slopes of invariant tori of a given class and allows to apply a subsidiary criterion to extend the non-existence region, saving significant computation time. The method finds regions corresponding to magnetic islands and chaos for the fieldline flow. |
| title | Conefield approach to identifying regions without flux surfaces for magnetic fields |
| topic | Plasma Physics Dynamical Systems 52.55.-s, 05.45.-a |
| url | https://arxiv.org/abs/2501.06796 |