Journal of Plasma Physics



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Poisson brackets for guiding-centre and gyrocentre theories


DARÍO CORREA-RESTREPO a1 and DIETER PFIRSCH a1
a1 Max-Planck-Institut für Plasmaphysik, EURATOM Association, D-85748 Garching, Germany (dcr@ipp.mpg.de)

Article author query
correa-restrepo d   [Google Scholar] 
pfirsch d   [Google Scholar] 
 

Abstract

Poisson brackets in the phase space of averaging Kruskal coordinates are obtained in a clear and straightforward way. The derivation makes use of the equations of motion of guiding centres and gyrocentres derived from a gyroangle-independent Lagrangian, and from generally valid relations of Hamiltonian mechanics. The usual procedure of matrix inversion to obtain the Poisson tensor from the Lagrange tensor is not required.

(Published Online January 13 2005)
(Received July 27 2003)
(Accepted December 16 2003)