Differential formulation of the gyrokinetic Landau operator
Keyword(s):
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.
2000 ◽
Vol 126
(6)
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pp. 626-632
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1991 ◽
Vol 06
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pp. 845-863
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2000 ◽
Vol 210
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pp. 107-144
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1999 ◽
Vol 40
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pp. 3431-3438
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1996 ◽
Vol 36
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pp. 357-371
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