Pattern formation in micromagnetics
Topic
Micromagnetics deals with the spatial pattern formed by the
magnetization of a ferromagnet. From the point of view of mathematics,
micromagnetics is an ideal testbed for a pattern-forming system in
materials science: There are abundant experiments on a wealth of
visually attractive phenomena and there is a well-accepted continuum
model.
In this talk, I will focus on a couple of specific experimental pattern for thin film ferromagnetic elements. Starting point for our investigation is the micromagnetic model which has several characteristic length scales and thus many parameter regimes. For the pattern under consideration, we identify the appropriate paramater regime and rigorously derive a reduced model. We analytically investigate and numerically simulate the reduced model and compare its predictions to experimental data from our collaborators.
In this talk, I will focus on a couple of specific experimental pattern for thin film ferromagnetic elements. Starting point for our investigation is the micromagnetic model which has several characteristic length scales and thus many parameter regimes. For the pattern under consideration, we identify the appropriate paramater regime and rigorously derive a reduced model. We analytically investigate and numerically simulate the reduced model and compare its predictions to experimental data from our collaborators.
Speakers
Additional Information
PIMS Distinguished Chair Lectures 2007
Felix Otto (Universitaet Bonn (Germany))
Felix Otto (Universitaet Bonn (Germany))