Kiel 2004 – scientific programme

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P: Plasmaphysik

P 17: Postersitzung: Plasma-Wand-Wechselwirkung III, Grundlegende Probleme Theorie II, Schwerionen- Laserplasmen II, Dichte Plasmen II

P 17.19: Poster

Wednesday, March 10, 2004, 17:45–19:30, Foyer

Bifurcation analysis of magnetic reconnection in Hall-MHD systems — •Holger Homann and Rainer Grauer — Institut für Theoretische Physik I, Ruhr-Universität-Bochum, 44780 Bochum

The dependence of the Hall-term on the width of the magnetic islands of the tearing-mode is examined. We applied the center manifold theory to a MHD-system. The MHD-system was chosen to be incompressible and includes in addition to resistivity the Hall-term in Ohm’s law. For certain values of physical parameters the corresponding center manifold is two-dimensional and therefore the original partial differential equations could be reduced to a two-dimensional system of ordinary ones. This amplitude equations exhibit a pitchfork-bifurcation which corresponds to the occurrence of the tearing-mode.