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Geometrical Formulation of Hybrid Kinetic and Gyrokinetic Hamiltonian Field Theory for Astrophysical and Laboratory Plasmas (2302.05473v1)

Published 10 Feb 2023 in physics.plasm-ph, astro-ph.SR, math.SG, and physics.space-ph

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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