Pattern formation in micromagnetics

  • Date: 09/11/2007

Felix Otto (Universitaet Bonn (Germany))


Simon Fraser University


Micromagnetics deals with the spatial pattern formed by the
magnetization of a ferromagnet. From the point 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

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.

Other Information: 

PIMS Distinguished Chair Lectures 2007