Some mathematics for quasi-symmetry | Zendy

J. W. Burby | Zendy; N. Kallinikos | Zendy; Robert S. MacKay | Zendy

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Some mathematics for quasi-symmetry

Author(s) -

J. W. Burby,

N. Kallinikos,

Robert S. MacKay

Publication year - 2020

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.5142487

Subject(s) - symmetry (geometry) , circular symmetry , physics , classical mechanics , field (mathematics) , motion (physics) , function (biology) , flux (metallurgy) , magnetic field , mathematical physics , global symmetry , order (exchange) , mathematics , mathematical analysis , quantum mechanics , symmetry breaking , geometry , pure mathematics , spontaneous symmetry breaking , materials science , evolutionary biology , finance , economics , metallurgy , biology

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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