Use of Stokes’ theorem for plasma confinement | Zendy

Robert S. MacKay | Zendy

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Use of Stokes’ theorem for plasma confinement

Author(s) -

Robert S. MacKay

Publication year - 2020

Publication title -

philosophical transactions of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.074

H-Index - 169

eISSN - 1471-2962

pISSN - 1364-503X

DOI - 10.1098/rsta.2019.0519

Subject(s) - generalization , plasma , integrable system , physics , toroid , magnetic field , classical mechanics , mathematics , mathematical physics , mathematical analysis , quantum mechanics

Stokes’ theorem, in its original form and Cartan’s generalization, is crucial for designing magnetic fields to confine plasma (ionized gas). The paper illustrates its use, in particular to address the question whether quasi-symmetric fields, those for which guiding-centre motion is integrable, can be made with little or no toroidal current. This article is part of the theme issue ‘Stokes at 200 (Part 1)’.

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