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

Published online by Cambridge University Press:  01 October 2009

A. J. BRIZARD
Affiliation:
Department of Physics, Saint Michael's College, Colchester, VT 05439, USA ([email protected])
A. MISHCHENKO
Affiliation:
Max-Planck-Institut für Plasmaphysik, EURATOM Association, D-17491, Greifswald, Germany

Abstract

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.

Type
Papers
Copyright
Copyright © Cambridge University Press 2009

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