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  • Cited by 2
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Morrison, P. J. Vittot, M. and de Guillebon, L. 2013. Lifting particle coordinate changes of magnetic moment type to Vlasov-Maxwell Hamiltonian dynamics. Physics of Plasmas, Vol. 20, Issue. 3, p. 032109.

    Squire, J. Qin, H. Tang, W. M. and Chandre, C. 2013. The Hamiltonian structure and Euler-Poincaré formulation of the Vlasov-Maxwell and gyrokinetic systems. Physics of Plasmas, Vol. 20, Issue. 2, p. 022501.


Poisson brackets for guiding-centre and gyrocentre theories

  • DOI:
  • Published online: 13 January 2005

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.

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Journal of Plasma Physics
  • ISSN: 0022-3778
  • EISSN: 1469-7807
  • URL: /core/journals/journal-of-plasma-physics
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