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Variational approach to low-frequency kinetic-MHD in the current-coupling scheme

Burby, J and Tronci, Cesare (2017) Variational approach to low-frequency kinetic-MHD in the current-coupling scheme Plasma Physics and Controlled Fusion, 59 (4), 045013.

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Abstract

Hybrid kinetic-MHD models describe the interaction of an MHD bulk uid with an ensemble of hot particles, which obeys a kinetic equation. In this work we apply Hamilton's variational principle to formulate new current-coupling kinetic-MHD models in the low-frequency approximation (i.e. large Larmor frequency limit). More particularly, we formulate current-coupling schemes, in which energetic particle dynamics are expressed in either guiding center or gyrocenter coordinates. When guiding center theory is used to model the hot particles, we show how energy conservation requires corrections to the standard magnetization term. On the other hand, charge and momentum conservation in gyrokinetic-MHD lead to extra terms in the usual de nition of the hot current density as well modi cations to conventional gyrocenter dynamics. All these new features arise naturally from the underlying variational structure of the proposed models.

Item Type: Article
Subjects : Mathematics
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Burby, JUNSPECIFIEDUNSPECIFIED
Tronci, Cesarec.tronci@surrey.ac.ukUNSPECIFIED
Date : 15 March 2017
Identification Number : 10.1088/1361-6587/aa5c5b
Copyright Disclaimer : This is an author-created, un-copyedited version of an article accepted for publication/published in Plasma Physics and Controlled Fusion. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it.
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 30 Jan 2017 13:39
Last Modified : 09 Jun 2017 09:53
URI: http://epubs.surrey.ac.uk/id/eprint/813395

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