# München 2019 – wissenschaftliches Programm

## Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

# P: Fachverband Plasmaphysik

## P 18: Postersitzung

### P 18.76: Poster

### Donnerstag, 21. März 2019, 16:30–18:30, Foyer Audimax

**Hybrid formulation of fully- and gyrokinetic Hamiltonian field theory for astrophysical plasmas** — •Felipe Nathan deOliveira, Daniel Told, Natalia Tronko, and Karen Pommois — Max Planck Institute for Plasma Physics

Higher-order Lie-transform perturbative methods applied to Hamiltonian
formulation of guiding-center motion are widely used to describe the
dynamics of particles in plasma physics[1][2][3].
Thereunder, the elegant and compact Lagrangian formulation allows
for the derivation of the equations of motion from the L two-form,
or sympletic two-form, *w*_{L}=−*dx*^{i}∧ *dp*_{i}∈Λ^{2}*T***M*,
where *T***M* represents a space T cotangent to a manifold
M[4].

This study aims to develop a field theoretical hybrid model where the dynamics of ions is described within a fully kinetic framework and the dynamic of electrons is described using a gyrokinetic coordi- nate system. From the Lagrangian 2-form one performs [5] a series of gauge transformations in order to eliminate the theta dependence up to a predefined ordering. A Lie transformation is performed to ensure theta independence in the Hamiltonian part of the Lagrangian. The dynamics of the system is derived using the variational principle in the action, which also includes the electromagnetic fields. With this work, we wish to develop a computational framework to investigate in detail the kinetic and turbulent effects present in astrophysical[6] and laboratory plasmas.