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Comment on “Stepped pressure profile equilibria in cylindrical plasmas via partial Taylor relaxation” [J. Plasma Physics (2006), vol. 72, part 6, pp. 1167–1171]

Published online by Cambridge University Press:  05 April 2021

Yuanfan Wang ,
Dhairya Malhotra Open the ORCID record for Dhairya Malhotra [Opens in a new window]  and
Antoine J. Cerfon Open the ORCID record for Antoine J. Cerfon [Opens in a new window]
Yuanfan Wang
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York, NY10012, USA
Dhairya Malhotra
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York, NY10012, USA
Antoine J. Cerfon*
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York, NY10012, USA
*
†Email address for correspondence: cerfon@cims.nyu.edu
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Abstract

In an early study of the properties and capabilities of the multiregion, relaxed magnetohydrodynamic model, Hole, Hudson & Dewar claim that they are able to construct a multiregion stepped pressure cylindrical equilibrium which does not require the existence of surface currents. We present a brief argument showing that this claim is incorrect, and clarify the meaning of their statement. Furthermore, even with the statement clarified, we demonstrate that it is not possible to find solutions to reproduce the equilibrium corresponding to the parameters given in the article. We invite the authors to provide a corrigendum with the correct values of the equilibrium they constructed.

Keywords

fusion plasmaplasma confinementplasma simulation
Type
Letter
Information
Journal of Plasma Physics , Volume 87 , Issue 2 , April 2021 , 175870202
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Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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References

REFERENCES

Griffiths, D. J. 2017 Introduction to Electrodynamics, 4th edn. Cambridge University Press.CrossRefGoogle Scholar
Hole, M. J., Hudson, S. R. & Dewar, R. L. 2006 Stepped pressure profile equilibria in cylindrical plasmas via partial taylor relaxation. J. Plasma Phys. 72 (6), 1167–1171.CrossRefGoogle Scholar
Hudson, S. R., Dewar, R. L., Dennis, G., Hole, M. J., McGann, M., von Nessi, G. & Lazerson, S. 2012 Computation of multi-region relaxed magnetohydrodynamic equilibria. Phys. Plasmas 19 (11), 112502. doi.org/10.1063/1.4765691.CrossRefGoogle Scholar