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P: Fachverband Plasmaphysik

P 12: Poster Session - Magnetic Confinement

P 12.9: Poster

Dienstag, 18. März 2014, 16:30–18:30, SPA Foyer

On the influence of boundary conditions on the excitation of instabilities in magnetohydrodynamic systems — •Claudia-Veronika Meister, Bo Ram Lee, and Dieter H.H. Hoffmann — Technische Universität Darmstadt, Institut für Kernphysik, Schlossgartenstr. 9, 64289 - Darmstadt

The recent stage of the magnetohydrodynamic energy principle which may be applied to laboratory and space plasmas, is briefly reviewed. Some steps are made to develop the principle further to apply it also to inhomogenous, incompressible systems. Especially it is tried to introduce inhomogeneous magnetic fields in the inner parts of pinch plasmas. In doing so, a system of mathematical equations is derived, the solution of which gives the dispersion relation in plasmas with disturbances in non-cylindrical symmetry. But the numerical applications presented here are only performed for plasma disturbances with cylindrical symmetry and homogeneous axial magnetic fields. Using the model of a pinch plasma separated from the outer conducting wall by a vacuum, sausage instabilities are described in ITER-type and lightning plasmas. The ratios of the values of the inner and external magnetic fields are found at which sausage instabilities will occur at very small wave numbers. In case of the lightning plasma, it was even possible to estimate the radial displacements in the plasma.