2017
1.
Hirvijoki, E; Brizard, A J; Pfefferlé, D
Differential formulation of the gyrokinetic Landau operator Journal Article
In: Journal of Plasma Physics, vol. 83, no. 1, 2017.
Abstract | Links | BibTeX | Tags: collisions, gyrokinetics, rosenbluth potential
@article{hirvijoki-2017,
title = {Differential formulation of the gyrokinetic Landau operator},
author = {E Hirvijoki and A J Brizard and D Pfefferl\'{e}},
editor = {
},
doi = {10.1017/S0022377816001203},
year = {2017},
date = {2017-01-05},
journal = {Journal of Plasma Physics},
volume = {83},
number = {1},
publisher = {Cambridge University Press},
address = {Cambridge, UK},
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\textendashMacDonald\textendashJudd potential functions must be kept gyroangle dependent.},
keywords = {collisions, gyrokinetics, rosenbluth potential},
pubstate = {published},
tppubtype = {article}
}
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.