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Polarization effects in higher-order guiding-centre Lagrangian dynamics

Published online by Cambridge University Press:  30 January 2024

Alain J. Brizard Open the ORCID record for Alain J. Brizard [Opens in a new window]
Alain J. Brizard*
Affiliation:
Department of Physics, Saint Michael's College, Colchester, VT 05439, USA
*
†Email address for correspondence: abrizard@smcvt.edu
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Abstract

The extended guiding-centre Lagrangian equations of motion are derived by the Lie-transform perturbation method under the assumption of time-dependent and inhomogeneous electric and magnetic fields that satisfy the standard guiding-centre space–time orderings. Polarization effects are introduced into the Lagrangian dynamics by the inclusion of the polarization drift velocity in the guiding-centre velocity and the appearance of finite-Larmor-radius corrections in the guiding-centre Hamiltonian and guiding-centre Poisson bracket.

Keywords

plasma dynamics
Type
Research Article
Information
Journal of Plasma Physics , Volume 90 , Issue 1 , June 2024 , 905900107
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Copyright
Copyright © The Author(s), 2024. Published by Cambridge University Press

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