Minimum quadratic helicity states

P. M. Akhmet'ev; S. Candelaresi; A. Y. Smirnov

doi:10.1017/S0022377818001095

Minimum quadratic helicity states

P. M. Akhmet'ev (Lead / Corresponding author), S. Candelaresi, A. Y. Smirnov

Mathematics

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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.

Original language	English
Article number	775840601
Pages (from-to)	1-16
Number of pages	16
Journal	Journal of Plasma Physics
Volume	84
Issue number	6
Early online date	21 Nov 2018
DOIs	https://doi.org/10.1017/S0022377818001095
Publication status	Published - Dec 2018

Keywords

astrophysical plasmas
plasma dynamics

Access to Document

10.1017/S0022377818001095

Author Accepted ManuscriptAccepted author manuscript, 1.03 MB

Dynamics of Complex Magnetic Fields: From the Corona to the Solar Wind (Joint with University of Durham)
Hornig, G. (Investigator) & Pontin, D. (Investigator)
Science and Technology Facilities Council
1/04/16 → 30/09/19
Project: Research

Cite this

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title = "Minimum quadratic helicity states",

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 plasmas, plasma dynamics",

author = "Akhmet'ev, {P. M.} and S. Candelaresi and Smirnov, {A. Y.}",

note = "Funding: STFC (grant number ST/K000993)",

year = "2018",

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doi = "10.1017/S0022377818001095",

language = "English",

volume = "84",

pages = "1--16",

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issn = "0022-3778",

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T1 - Minimum quadratic helicity states

AU - Akhmet'ev, P. M.

AU - Candelaresi, S.

AU - Smirnov, A. Y.

N1 - Funding: STFC (grant number ST/K000993)

PY - 2018/12

Y1 - 2018/12

N2 - 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.

AB - 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.

KW - astrophysical plasmas

KW - plasma dynamics

U2 - 10.1017/S0022377818001095

DO - 10.1017/S0022377818001095

M3 - Article

SN - 0022-3778

VL - 84

SP - 1

EP - 16

JO - Journal of Plasma Physics

JF - Journal of Plasma Physics

IS - 6

M1 - 775840601

ER -

Minimum quadratic helicity states

Abstract

Keywords

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Projects

Dynamics of Complex Magnetic Fields: From the Corona to the Solar Wind (Joint with University of Durham)

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