On the theory of translationally invariant magnetohydrodynamic equilibria with anisotropic pressure and magnetic shear
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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.
Hodgson , J D B & Neukirch , T 2015 , ' On the theory of translationally invariant magnetohydrodynamic equilibria with anisotropic pressure and magnetic shear ' Geophysical and Astrophysical Fluid Dynamics , vol 109 , no. 5 , pp. 524-537 . DOI: 10.1080/03091929.2015.1081188
Geophysical and Astrophysical Fluid Dynamics
© 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.
Funding: STFC Doctoral Training Grant ST/K502327/1 (Jonathan Hodgson) and STFC Consolidated Grant ST/K000950/1 (Thomas Neukirch)
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