Geometrical Formulation of Hybrid Kinetic and Gyrokinetic Hamiltonian Field Theory for Astrophysical and Laboratory Plasmas
arXiv (Cornell University)(2023)
摘要
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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关键词
hybrid kinetic,field theory,geometrical formulation,gyrokinetic
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