Minimum Quadratic Helicity States

Minimum Quadratic Helicity States

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

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Veröffentlicht in:arXiv.org 2024-11
Hauptverfasser: Akhmet'ev, Petr M, Candelaresi, Simon, Alexandr Yu Smirnov
Format: Artikel
Sprache:eng
Schlagworte:
Eigenvectors
Fluid dynamics
Helicity
Magnetohydrodynamics
Mathematics - Differential Geometry
Physics - Fluid Dynamics
Physics - Solar and Stellar Astrophysics
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Zusammenfassung:Building on previous results on the quadratic helicity in magnetohydrodynamics (MHD) we investigate particular minimum helicity states. Those 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.
ISSN:2331-8422
DOI:10.48550/arxiv.1806.07428