Erlangen 2018 – wissenschaftliches Programm
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P: Fachverband Plasmaphysik
P 14: Astrophysical Plasmas - Poster
P 14.1: Poster
Dienstag, 6. März 2018, 16:15–18:15, Redoutensaal
Hybrid formulation of guiding-center Hamiltonian theory for astrophysical plasmas — •Felipe Nathan Oliveira1, Simon Lautenbach2, Rainer Grauer2, and Daniel Told1 — 1Max-Planck-Institut für Plasmaphysik — 2Ruhr-Universität Bochum
Higher-order Lie-transform perturbative methods applied to the Hamiltonian formulation of guiding-center motion are widely used to describe the dynamics of particles in plasma physics [1][2][3]. Therewithin, the elegant and compact Lagrangian formulation allows for the derivation of the equations of motion from the L two-form, or sympletic two-form, wL = −dxi ∧ dpi ∈ Λ2 T* M . Where T* M represents a linear space T tangent to a manifold M [4].
In the present work, a consistent Lagrangian model that encapsulates fully kinetic ions and gyrokinetic electrons for solar wind and fusion electromagnetic turbulence is studied. Using a consistent method [5], both electrons and protons are treated with the same mathematical formalism. We plan to derive and implement a model in which high frequency waves and kinetic electron effects[6] are computed in a cost-effective way.
[1] N. Tronko and A. Brizard. Physics of Plasmas, 2015.
[2] Robert G. Littlejohn. Journal of Mathematical Physics, 1982.
[3] H. Sugama. Physics of Plasmas, 2000.
[4] Robert H. Wasserman. Tensor and Manifolds. 2004
[5] A. J. Brizard and N. Tronko. arXiv:1606.0653v1, 2016
[6] F. Muller P. Astfalk D. Told, J. Cookmeyer and F. Jenko. New Journal of Physics, 2016.