PPPL-5084


<p><strong>Hamiltonian Formulation of the Gyrokinetic Vlasov-Maxwell Equations</strong></p>

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<b>Authors:</b> J.W. Burby, A. J. Brizard, P.J. Morrison, and H. Qin</p>

<p><b>Abstract:</b> 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. Many of the bracket's Casimirs are identified. This work enables  the derivation of gyrokinetic equilibrium variational principles and  the application of the energy-Casimir method, and the method of dynamically-accessible variations to study stability properties of gyrokinetic equilibria.<br>
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<p><b>Submitted to: </b> Physical Review Letters<br>
  
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  <a href="PPPL-5084.pdf"><b>Download PPPL-5084</b></a> (pdf 1.5 MB / 11pp)
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