Polarization Effects in Higher-order Guiding-center Lagrangian Dynamics

TL;DR

This paper derives extended guiding-center Lagrangian equations incorporating polarization effects, finite-Larmor-radius corrections, and inhomogeneous fields, advancing the theoretical understanding of plasma particle dynamics.

Contribution

It introduces polarization effects into guiding-center Lagrangian dynamics using Lie-transform methods, accounting for finite-Larmor-radius corrections and inhomogeneous electromagnetic fields.

Findings

Derived extended guiding-center equations of motion with polarization effects

Included finite-Larmor-radius corrections in Hamiltonian and Poisson bracket

Enhanced theoretical framework for plasma particle dynamics

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.