Geometrical Formulation of Hybrid Kinetic and Gyrokinetic Hamiltonian Field Theory for Astrophysical and Laboratory Plasmas

TL;DR

This paper develops a Hamiltonian-based model combining kinetic ions and gyrokinetic electrons to efficiently simulate solar wind turbulence, integrating high-frequency wave effects with gauge invariance.

Contribution

It introduces a novel geometrical Hamiltonian formulation that unifies kinetic and gyrokinetic plasma descriptions with a gauge-invariant electromagnetic field theory.

Findings

Efficient modeling of high-frequency waves and electron kinetics in plasma turbulence.

A consistent Hamiltonian framework for guiding center and kinetic particle dynamics.

Implementation of higher order Lie-transform perturbation methods.

Abstract

In the present work, a consistent Lagrangian model that encapsulates fully kinetic ions and gyrokinetic electrons for solar wind electromagnetic turbulence is formulated. Using a consistent method, where both electrons and protons are treated with the same mathematical formalism, we derive and implement a model in which high frequency waves and kinetic electrons effects are described in a computationally cost-efficient way. To that aim, higher order Lie-transform perturbation methods applied to Hamiltonian formulation of guiding center motion are used in order to describe the dynamics of particles and fields. Furthermore, the use of a Hamiltonian formulation allow us to introduce an abelian and gauge invariant electromagnetic field theory for the closure of the system.