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arXiv · 2302.05473

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

Felipe Nathan deOliveira-Lopes·Daniel Told·Karen Pommois·Ken Hagiwara·Aleksandr Mustonen·Rainer Grauer
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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.

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Felipe Nathan deOliveira-Lopes, Daniel Told, Karen Pommois, Ken Hagiwara, Aleksandr Mustonen, Rainer Grauer. 2023-02-10. Geometrical Formulation of Hybrid Kinetic and Gyrokinetic Hamiltonian Field Theory for Astrophysical and Laboratory Plasmas. https://arxiv.org/abs/2302.05473

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