Differential formulation of the gyrokinetic Landau operator

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...

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Bibliographic Details
Published in:Journal of plasma physics 2017-02, Vol.83 (1), Article 595830102
Main Authors: Hirvijoki, Eero, Brizard, Alain J., Pfefferlé, David
Format: Article
Language:English
Subjects:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Differential equations
fusion plasma
Partial differential equations
plasma nonlinear phenomena
Plasma physics
plasma simulation
Solved and Unsolved Problems in Plasma Physics: Nathaniel J. Fisch Symposium
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Summary: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.
ISSN:0022-3778
1469-7807
DOI:10.1017/S0022377816001203