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Sherwood 2015 Abstracts Abstract Details
Hamiltonian formulation of the gyrokinetic Vlasov-Maxwell equations
Author: Joshua W Burby
Requested Type: Poster Only
Submitted: 2015-01-20 09:29:18
Co-authors: A. J. Brizard, P. J. Morrison, H. Qin
Contact Info:
PPPL
3 Grovers Ct
West Windsor, NJ 08550
USA
Abstract Text:
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.
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