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Article overview
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Hamiltonian formulation of the gyrokinetic Vlasov-Maxwell equations | J. W. Burby
; A. J. Brizard
; P. J. Morrison
; H. Qin
; | Date: |
7 Nov 2014 | Abstract: | The gyrokinetic Vlasov-Maxwell equations are cast as an infinite-dimensional
Hamiltonian system. The gyrokinetic Poisson bracket is remarkably simple and
similar to the Morrison-Marsden-Weinstein bracket for the Vlasov-Maxwell
equations. By identifying many of the bracket’s Casimirs, this work enables (i)
the derivation of gyrokinetic equilibrium variational principles and (ii) the
application of the energy-Casimir method and the method of
dynamically-accessible variations to study stability properties of gyrokinetic
equilibria. | Source: | arXiv, 1411.1790 | Services: | Forum | Review | PDF | Favorites |
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