On pushforward representations in the standard gyrokinetic model
Abstract
Two representations of fluid moments in terms of a gyrocenter distribution function and gyrocenter coordinates, which are called pushforward representations, are compared in the standard electrostatic gyrokinetic model. In the representation conventionally used to derive the gyrokinetic Poisson equation, the pullback transformation of the gyrocenter distribution function contains effects of the gyrocenter transformation and therefore electrostatic potential fluctuations, which is described by the Poisson brackets between the distribution function and scalar functions generating the gyrocenter transformation. Usually, only the lowest order solution of the generating function at first order is considered to explicitly derive the gyrokinetic Poisson equation. This is true in explicitly deriving representations of scalar fluid moments with polarization terms. One also recovers the particle diamagnetic flux at this order because it is associated with the guidingcenter transformation. However, higherorder solutions are needed to derive finite Larmor radius terms of particle flux including the polarization drift flux from the conventional representation. On the other hand, the lowest order solution is sufficient for the other representation, in which the gyrocenter transformation part is combined with the guidingcenter one and the pullback transformation of the distribution function does not appear.
 Authors:
 Japan Atomic Energy Agency, 2116 Omotedate, Obuchi, Rokkasho, Aomori 0393212 (Japan)
 MaxPlanckInstitut für Plasmaphysik, D85748 Garching (Germany)
 Publication Date:
 OSTI Identifier:
 22407981
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 1; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; DISTRIBUTION FUNCTIONS; FLUCTUATIONS; GYROMAGNETIC RATIO; LARMOR RADIUS; MATHEMATICAL SOLUTIONS; POISSON EQUATION; POLARIZATION; POTENTIALS; SCALARS; TRANSFORMATIONS
Citation Formats
Miyato, N., Email: miyato.naoaki@jaea.go.jp, Yagi, M., and Scott, B. D.. On pushforward representations in the standard gyrokinetic model. United States: N. p., 2015.
Web. doi:10.1063/1.4905705.
Miyato, N., Email: miyato.naoaki@jaea.go.jp, Yagi, M., & Scott, B. D.. On pushforward representations in the standard gyrokinetic model. United States. doi:10.1063/1.4905705.
Miyato, N., Email: miyato.naoaki@jaea.go.jp, Yagi, M., and Scott, B. D.. 2015.
"On pushforward representations in the standard gyrokinetic model". United States.
doi:10.1063/1.4905705.
@article{osti_22407981,
title = {On pushforward representations in the standard gyrokinetic model},
author = {Miyato, N., Email: miyato.naoaki@jaea.go.jp and Yagi, M. and Scott, B. D.},
abstractNote = {Two representations of fluid moments in terms of a gyrocenter distribution function and gyrocenter coordinates, which are called pushforward representations, are compared in the standard electrostatic gyrokinetic model. In the representation conventionally used to derive the gyrokinetic Poisson equation, the pullback transformation of the gyrocenter distribution function contains effects of the gyrocenter transformation and therefore electrostatic potential fluctuations, which is described by the Poisson brackets between the distribution function and scalar functions generating the gyrocenter transformation. Usually, only the lowest order solution of the generating function at first order is considered to explicitly derive the gyrokinetic Poisson equation. This is true in explicitly deriving representations of scalar fluid moments with polarization terms. One also recovers the particle diamagnetic flux at this order because it is associated with the guidingcenter transformation. However, higherorder solutions are needed to derive finite Larmor radius terms of particle flux including the polarization drift flux from the conventional representation. On the other hand, the lowest order solution is sufficient for the other representation, in which the gyrocenter transformation part is combined with the guidingcenter one and the pullback transformation of the distribution function does not appear.},
doi = {10.1063/1.4905705},
journal = {Physics of Plasmas},
number = 1,
volume = 22,
place = {United States},
year = 2015,
month = 1
}

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