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Updated: Dec 19, 2025

Non-equilibrium Microwave Plasma for Efficient High Temperature Chemistry
Published on: August 1, 2017
Use of Stokes' theorem for plasma confinement
1Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK.
Abstract:
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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