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Differential formulation of the gyrokinetic Landau operator

Part of: Focus on Fusion Solved and Unsolved problems in Plasma Physics

Published online by Cambridge University Press:  05 January 2017

Eero Hirvijoki ,
Alain J. Brizard  and
David Pfefferlé
Eero Hirvijoki*
Affiliation:
Princeton Plasma Physics Laboratory, Princeton, NJ 08543, USA
Alain J. Brizard
Affiliation:
Department of Physics, Saint Michael’s College, Colchester, VT 05439, USA
David Pfefferlé
Affiliation:
Princeton Plasma Physics Laboratory, Princeton, NJ 08543, USA
*
†Email address for correspondence: [email protected]
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Abstract

Subsequent to the recent rigorous derivation of an energetically consistent gyrokinetic collision operator in the so-called Landau representation, this paper investigates the possibility of finding a differential formulation of the gyrokinetic Landau collision operator. It is observed that, while a differential formulation is possible in the gyrokinetic phase space, reduction of the resulting system of partial differential equations to five dimensions via gyroaveraging poses a challenge. Based on the present work, it is likely that the gyrocentre analogues of the Rosenbluth–MacDonald–Judd potential functions must be kept gyroangle dependent.

Keywords

fusion plasmaplasma nonlinear phenomenaplasma simulation
Type
Research Article
Information
Journal of Plasma Physics , Volume 83 , Issue 1 , February 2017 , 595830102
Copyright
© Cambridge University Press 2017 

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