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

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

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",

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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.

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KW - Anisotropic pressure

KW - Magnetic shear

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JO - Geophysical and Astrophysical Fluid Dynamics

JF - Geophysical and Astrophysical Fluid Dynamics

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ER -

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

Abstract

Keywords

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Plasma Theory: Solar and Magnetospheric Plasma Theory

Thomas Neukirch

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

Abstract

Keywords

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Plasma Theory: Solar and Magnetospheric Plasma Theory

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Thomas Neukirch

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