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Guiding-center recursive Vlasov and Lie-transform methods in plasma physics

The gyrocenter phase-space transformation used to describe nonlinear gyrokinetic theory is rediscovered by a recursive solution of the Hamiltonian dynamics associated with the perturbed guiding-center Vlasov operator. The present work clarifies the relation between the derivation of the gyrocenter p...

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Bibliographic Details
Published in:Journal of plasma physics 2009-10, Vol.75 (5), p.675-696
Main Authors: BRIZARD, A. J., MISHCHENKO, A.
Format: Article
Language:English
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Summary:The gyrocenter phase-space transformation used to describe nonlinear gyrokinetic theory is rediscovered by a recursive solution of the Hamiltonian dynamics associated with the perturbed guiding-center Vlasov operator. The present work clarifies the relation between the derivation of the gyrocenter phase-space coordinates by the guiding-center recursive Vlasov method and the method of Lie-transform phase-space transformations.
ISSN:0022-3778
1469-7807
DOI:10.1017/S0022377809007946