The Hamiltonian Structure and Euler-Poincare Formulation of the Valsov-Maxwell and Gyrokinetic System
Authors: J. Squire, H. Qin and W.M. Tang
Abstract:
We present a new variational principle for the gyrokinetic system, similar to the Maxwell-Vlasov action presented in Ref. 1. The variational principle is in the Eulerian frame and
based on constrained variations of the phase space fluid velocity and particle distribution
function. Using a Legendre transform, we explicitly derive the field theoretic Hamiltonian
structure of the system. This is carried out with the Dirac theory of constraints, which is
used to construct meaningful brackets from those obtained directly from Euler-Poincare
theory. Possible applications of these formulations include continuum geometric integration
techniques, large-eddy simulation models and Casimir type stability methods.
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Submitted to: Physics of Plasmas (September, 2012)
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Download PPPL-4816 (pdf 565 KB 30 pp)
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