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Exact momentum conservation laws for the gyrokinetic Vlasov-Poisson equations
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Brizard, Alain Jean and Tronko, Natalia (2011) Exact momentum conservation laws for the gyrokinetic Vlasov-Poisson equations. Physics of Plasmas, Vol.18 (No.8). 082307. doi:10.1063/1.3625554 ISSN 1070-664X.
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Official URL: http://dx.doi.org/10.1063/1.3625554
Abstract
The exact momentum conservation laws for the nonlinear gyrokinetic Vlasov-Poisson equations are derived by applying the Noether method on the gyrokinetic variational principle [A. J. Brizard, Phys. Plasmas 7, 4816 (2000)]. From the gyrokinetic Noether canonical-momentum equation derived by the Noether method, the gyrokinetic parallel momentum equation and other gyrokinetic Vlasov-moment equations are obtained. In addition, an exact gyrokinetic toroidal angular-momentum conservation law is derived in axisymmetric tokamak geometry, where the transport of parallel-toroidal momentum is related to the radial gyrocenter polarization, which includes contributions from the guiding-center and gyrocenter transformations.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||
| Library of Congress Subject Headings (LCSH): | Momentum transfer, Plasma dynamics, Kinetic theory of gases, Tokamaks, Poisson's equation, Transport theory | ||||
| Journal or Publication Title: | Physics of Plasmas | ||||
| Publisher: | American Institute of Physics | ||||
| ISSN: | 1070-664X | ||||
| Official Date: | August 2011 | ||||
| Dates: |
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| Volume: | Vol.18 | ||||
| Number: | No.8 | ||||
| Page Range: | 082307 | ||||
| DOI: | 10.1063/1.3625554 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | United States. Dept. of Energy (DOE), Engineering and Physical Sciences Research Council (EPSRC), Centre national de la recherche scientifique (France) (CNRS), France. Agence nationale de la recherche (ANR), Association EURATOM-Commissariat à l'énergie atomique (CEA) | ||||
| Grant number: | DE-FG02-09ER55005 (DOE), EP/D062837 (EPSRC), EUR 344-88-1 FUA F (CEA) |
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