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Variational principles of guiding centre motion

  • Robert G. Littlejohn (a1)
Abstract

An elementary but rigorous derivation is given for a variational principle for guiding centre motion. The equations of motion resulting from the variational principle (the drift equations) possess exact conservation laws for phase volume, energy (for time-independent systems), and angular momentum (for azimuthally symmetric systems). The results of carrying the variational principle to higher order in the adiabatic parameter are displayed. The behaviour of guiding centre motion in azimuthally symmetric fields is discussed, and the role of angular momentum is clarified. The application of variational principles in the derivation and solution of gyrokinetic equations is discussed.

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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

V. I. Arnold 1978 Mathematical Methods of Classical Mechanics. Springer.

A. H. Boozer 1980 Phys. Fluids, 23, 904.

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R. G. Littlejohn 1979 J. Math. Phys. 20, 2445.

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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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