On the theory of translationally invariant magnetohydrodynamic equilibria with anisotropic pressure and magnetic shear

Jonathan David Brockie Hodgson; Thomas Neukirch

doi:10.1080/03091929.2015.1081188

On the theory of translationally invariant magnetohydrodynamic equilibria with anisotropic pressure and magnetic shear

Jonathan David Brockie Hodgson, Thomas Neukirch

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We present an improved formalism for translationally invariant magnetohydrodynamic equilibria with anisotropic pressure and currents with a field aligned component. The derivation of a Grad-Shafranov type equation is given along with a constraint which links the shear field to the parallel pressure. The difficulties of the formalism are discussed and various methods of circumventing these difficulties are given. A simple example is then used to highlight the methods and difficulties involved.

Original language	English
Pages (from-to)	524-537
Journal	Geophysical and Astrophysical Fluid Dynamics
Volume	109
Issue number	5
Early online date	2 Sept 2015
DOIs	https://doi.org/10.1080/03091929.2015.1081188
Publication status	Published - 2015

Keywords

Magnetohydrodynamics
Magnetohydrodynamic equilibria
Anisotropic pressure
Magnetic shear

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10.1080/03091929.2015.1081188Licence: CC BY

Hodgson_2015_GAFD_OnTheTheory_CC
© 2015 The Author(s). Published by Taylor & Francis. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Final published version, 973 KBLicence: CC BY

Plasma Theory: Solar and Magnetospheric Plasma Theory
Hood, A. W. (PI), Mackay, D. H. (CoI), Neukirch, T. (CoI), Parnell, C. E. (CoI), Priest, E. (CoI), Archontis, V. (Researcher), Cargill, P. (Researcher), De Moortel, I. (Researcher) & Wright, A. N. (Researcher)
Science & Technology Facilities Council
1/04/13 → 31/03/16
Project: Standard

Thomas Neukirch
- tn3st-andrews.acuk
- Applied Mathematics - Professor
Person: Academic

Cite this

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abstract = "We present an improved formalism for translationally invariant magnetohydrodynamic equilibria with anisotropic pressure and currents with a field aligned component. The derivation of a Grad-Shafranov type equation is given along with a constraint which links the shear field to the parallel pressure. The difficulties of the formalism are discussed and various methods of circumventing these difficulties are given. A simple example is then used to highlight the methods and difficulties involved.",

keywords = "Magnetohydrodynamics, Magnetohydrodynamic equilibria, Anisotropic pressure, Magnetic shear",

author = "Hodgson, {Jonathan David Brockie} and Thomas Neukirch",

note = "Funding: STFC Doctoral Training Grant ST/K502327/1 (Jonathan Hodgson) and STFC Consolidated Grant ST/K000950/1 (Thomas Neukirch) ",

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AU - Neukirch, Thomas

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AB - We present an improved formalism for translationally invariant magnetohydrodynamic equilibria with anisotropic pressure and currents with a field aligned component. The derivation of a Grad-Shafranov type equation is given along with a constraint which links the shear field to the parallel pressure. The difficulties of the formalism are discussed and various methods of circumventing these difficulties are given. A simple example is then used to highlight the methods and difficulties involved.

KW - Magnetohydrodynamics

KW - Magnetohydrodynamic equilibria

KW - Anisotropic pressure

KW - Magnetic shear

U2 - 10.1080/03091929.2015.1081188

DO - 10.1080/03091929.2015.1081188

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JO - Geophysical and Astrophysical Fluid Dynamics

JF - Geophysical and Astrophysical Fluid Dynamics

IS - 5

ER -

On the theory of translationally invariant magnetohydrodynamic equilibria with anisotropic pressure and magnetic shear

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Projects

Plasma Theory: Solar and Magnetospheric Plasma Theory

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Thomas Neukirch

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