Hannover 2020 – scientific programme

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P: Fachverband Plasmaphysik

P 10: Poster Session 2

P 10.14: Poster

Tuesday, March 10, 2020, 16:30–18:30, Empore Lichthof

Hamiltonian emulators for charged particleorbits in magnetized plasmas — •Katharina Rath^1,2, Christopher G. Albert¹, Bernd Bischl², and Udo von Toussaint¹ — ¹Max-Planck-Institut für Plasmaphysik, Boltzmannstraße 2, 85748 Garching, Germany — ²Department of Statistics, Ludwig-Maximilians-University Munich, Ludwigstraße 33, 80539 Munich, Germany

Currently used full models to trace orbits inside 3D configurations of magnetic plasma confinement for low-collisional reactor-relevant plasmas require highly accurate tracing of thousands of particles over billions of time-steps, which is too time-consuming to be part of optimization routines. A fast structure-preserving model emulator for Hamiltonian systems is developed to significantly speed up the computation of fusion alpha particle orbits in 3D fields of perturbed tokamaks and stellarators. The model emulator is constructed via physics-informed machine learning methods, in particular kernel based statistical methods such as Gaussian processes combined with geometric numerical methods. The tailored kernel functions allow to preserve phase-space structure and conserve invariants of motion such as energy and momentum over long periods of time.