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Journal article

Second order guiding-center Vlasov–Maxwell equations

By Madsen, Jens1,2

From

Plasma Physics and Technology Programme, Risø National Laboratory for Sustainable Energy, Technical University of Denmark1

Risø National Laboratory for Sustainable Energy, Technical University of Denmark2

Second order gyrogauge invariant guiding-center coordinates with strong E×B-flow are derived using the Lie transformation method. The corresponding Poisson bracket structure and equations of motion are obtained. From a variational principle the explicit Vlasov–Maxwell equations are derived including second order terms.

The second order contributions contain the lowest order finite-Larmor-radius corrections to the electromagnetic field. Therefore, the model is capable of describing situations where strong E×B-flows and finite-Larmor-radius effects are mutually important.

Language: English
Publisher: American Institute of Physics
Year: 2010
Pages: 082107
ISSN: 10897674 and 1070664x
Types: Journal article
DOI: 10.1063/1.3465660
ORCIDs: Madsen, Jens

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