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Some mathematics for quasi-symmetry

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arxiv 1912.06468 v1 pith:RCDNK66Y submitted 2019-12-13 math-ph math.MP

classification math-phmath.MP
keywords quasi-symmetryderivefieldanalogueequationfirst-orderfluxfunction
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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.

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Cited by 1 Pith paper

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  1. An Introduction to Stellarators: From magnetic fields to symmetries and optimization

    physics.plasm-ph 2019-08 accept novelty 1.0 of 10

    A self-contained introduction to the theory, modeling, and optimization of stellarator magnetic fields.

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