Numerical Analysis Seminars: Topological aspects in magnetic field dynamics
24 February 2012 14:45 in CG 83
The dynamics of magnetic fields is strongly affected by its topological structure, rather then its geometry alone. For linked or knotted fields the behaviour is restricted by the topological invariants, in particular the magnetic helicity, which is a measure of interlinkage. Magnetic helicity arises naturually during the dynamo process, where through turbulent motions strong large-scale magnetic fields are created. This is manifested in the coronal loops of our Sun, which show a helical structure.
The dynamical evolution and turbulent decay of magnetic fields is shown for various knotted and linked magnetic structures. We show that the main restriction poses the magnetic helicity. Higher order topological invariants do not seem to have any relevance in the dynamics.
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