Gradient Flows and Energy Landscapes II
- Date: 09/20/2007
Felix Otto (Universitaet Bonn (Germany))
Simon Fraser University
Micromagnetics deals with the spatial pattern formed by the
magnetization of a ferromagnet. From the point 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 parameter
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.
PIMS Distinguished Chair Lectures 2007