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Some mathematics for quasi-symmetry

Mathematical Physics 2019-12-16 v1 math.MP

Abstract

Quasi-symmetry of a steady magnetic field means integrability of first-order guiding-centre motion. Here we derive many restrictions on the possibilities for a quasi-symmetry. We also derive an analogue of the Grad-Shafranov equation for the flux function in a quasi-symmetric magnetohydrostatic field.

Keywords

Cite

@article{arxiv.1912.06468,
  title  = {Some mathematics for quasi-symmetry},
  author = {Joshua W. Burby and Nikos Kallinikos and Robert S. MacKay},
  journal= {arXiv preprint arXiv:1912.06468},
  year   = {2019}
}
R2 v1 2026-06-23T12:45:07.933Z