Abstract
We report on recent efforts to improve the understanding of the Rosensweig instability
in the linear as well as in the nonlinear regime. In the linear regime we focus
on the wavenumber of maximal growth and the oscillatory decay of metastable magnetic liquid
ridges, accessible via a new pulse technique. We compare the measurements with the
predictions of the linear stability analysis. In the nonlinear regime the fully developed
Rosensweig pattern was successfully estimated by the method of finite elements, taking into
account the nonlinear magnetization law. For a comparison with these results the three-dimensional
surface profile is recorded by a radioscopic measurement technique. The bifurcation
diagram measured in this way can be fitted by the roots of an amplitude equation.
Eventually we investigate ferrosolitons, which were recently uncovered in the bistability interval
of the Rosensweig instability.
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