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 work 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. Finally, based on the present work, it is likely that the gyrocentre analogues of the Rosenbluth–MacDonald–Judd potential functions must be kept gyroangle dependent.
- Authors:
-
[1]
; [2]
; [1]
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- Saint Michael's College, Colchester, VT (United States). Dept. of Physics
- Publication Date:
- Report Number(s):
- PPPL-5340
Journal ID: ISSN 0022-3778; PII: S0022377816001203
- Grant/Contract Number:
- AC02-09CH11466; SC0014032
- Type:
- Accepted Manuscript
- Journal Name:
- Journal of Plasma Physics
- Additional Journal Information:
- Journal Volume: 83; Journal Issue: 1; Journal ID: ISSN 0022-3778
- Publisher:
- Cambridge University Press
- Research Org:
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Saint Michael's College, Colchester, VT (United States)
- Sponsoring Org:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; fusion plasma; plasma nonlinear phenomena; plasma simulation
- OSTI Identifier:
- 1351535
- Free Publicly Accessible Full Text
-
Accepted Manuscript (DOE)
- Publisher's Version of Record
- https://doi.org/10.1017/s0022377816001203