Polarization Effects in Higher-order Guiding-center Lagrangian Dynamics

2023/08/08 by Brizard, Alain J.
#FOS: Physical sciences #Plasma Physics (physics.plasm-ph)

paper · doi:10.48550/arxiv.2308.04240

Abstract

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

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