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Minimum quadratic helicity states

Part of: PLA Topological Methods in MHD, Fluids, and Plasmas

Published online by Cambridge University Press:  21 November 2018

P. M. Akhmet’ev ,
S. Candelaresi  and
A. Y. Smirnov
P. M. Akhmet’ev*
Affiliation:
MIEM HSE, Troitsk, Kaluzhskoe Hwy 4, Moscow 108840, Russia IZMIRAN, Troitsk, 34 Tallinskaya Str., Moscow 123458, Russia
S. Candelaresi
Affiliation:
Division of Mathematics, University of Dundee, Dundee DD1 4HN, UK
A. Y. Smirnov
Affiliation:
IZMIRAN, Troitsk, 34 Tallinskaya Str., Moscow 123458, Russia National University of Science and Technology MISiS, Moscow 119049, Russia
*
†Email address for correspondence: pmakhmet@mail.ru
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Abstract

Building on previous results on the quadratic helicity in magnetohydrodynamics (MHD) we investigate particular minimum helicity states. These are eigenfunctions of the curl operator and are shown to constitute solutions of the quasi-stationary incompressible ideal MHD equations. We then show that these states have indeed minimum quadratic helicity.

Keywords

astrophysical plasmasplasma dynamics
Type
Research Article
Information
Journal of Plasma Physics , Volume 84 , Issue 6 , December 2018 , 775840601
Copyright
© Cambridge University Press 2018 

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