Authors: E. Hirvijoki, and D. Pfeff erle
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 diff erential 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 diff erential 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.
Submitted to: Journal of Plasma Physics
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