Polarization effects in higher-order guiding-centre Lagrangian dynamics
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.
- Publication:
-
Journal of Plasma Physics
- Pub Date:
- January 2024
- DOI:
- 10.1017/S0022377824000096
- arXiv:
- arXiv:2308.04240
- Bibcode:
- 2024JPlPh..90a9007B
- Keywords:
-
- plasma dynamics;
- Physics - Plasma Physics
- E-Print:
- 16 pages. arXiv admin note: substantial text overlap with arXiv:2306.04726