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Article overview
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Lifting of the Vlasov-Maxwell Bracket by Lie-transform Method | A. J. Brizard
; P. J. Morrison
; J. W. Burby
; L. de Guillebon
; M. Vittot
; | Date: |
21 Jun 2016 | Abstract: | The Vlasov-Maxwell equations possess a Hamiltonian structure expressed in
terms of a Hamiltonian functional and a functional bracket. In the present
paper, the transformation ("lift") of the Vlasov-Maxwell bracket induced by the
dynamical reduction of single-particle dynamics is investigated when the
reduction is carried out by Lie-transform perturbation methods. The ultimate
goal of this work is to derive explicit Hamiltonian formulations for the
guiding-center and gyrokinetic Vlasov-Maxwell equations that have important
applications in our understanding of turbulent magnetized plasmas. | Source: | arXiv, 1606.6652 | Services: | Forum | Review | PDF | Favorites |
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