Polarization Effects in Higher-order Guiding-center Lagrangian Dynamics
Plasma Physics
2024-01-09 v2
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.
Cite
@article{arxiv.2308.04240,
title = {Polarization Effects in Higher-order Guiding-center Lagrangian Dynamics},
author = {Alain J. Brizard},
journal= {arXiv preprint arXiv:2308.04240},
year = {2024}
}
Comments
16 pages. arXiv admin note: substantial text overlap with arXiv:2306.04726