dorsal/arxiv
View SchemaGuiding-center dynamics in a screw-pinch magnetic field
| Authors | Alain J. Brizard |
|---|---|
| Categories | |
| ArXiv ID | 2601.07109vv1 |
| URL | https://arxiv.org/abs/2601.07109 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
The guiding-center dynamics of charged particles moving in a doubly-symmetric screw-pinch magnetic field is investigated. In particular, we verify that Kruskal's adiabatic-invariant series expansion of the radial action integral associated with the reduced full-orbit radial motion matches the perturbation expansion of the magnetic-moment gyroaction up to first order in magnetic-field non-uniformity. Because the radial action integral is an exact invariant of the full-orbit dynamics, the magnetic moment is therefore represented as non-perturbative integral expression, which can be used to test the validity of the guiding-center approximation.
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"abstract": "The guiding-center dynamics of charged particles moving in a doubly-symmetric screw-pinch magnetic field is investigated. In particular, we verify that Kruskal\u0027s adiabatic-invariant series expansion of the radial action integral associated with the reduced full-orbit radial motion matches the perturbation expansion of the magnetic-moment gyroaction up to first order in magnetic-field non-uniformity. Because the radial action integral is an exact invariant of the full-orbit dynamics, the magnetic moment is therefore represented as non-perturbative integral expression, which can be used to test the validity of the guiding-center approximation.",
"arxiv_id": "2601.07109",
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"Alain J. Brizard"
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"title": "Guiding-center dynamics in a screw-pinch magnetic field",
"url": "https://arxiv.org/abs/2601.07109",
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