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SUMMARY:Analysis of Novel Domain Wall Types in Ferromagnetic Nanostructure
 s - Cyrill Muratov (New Jersey Institute of Technology)
DTSTART:20190117T094500Z
DTEND:20190117T103000Z
UID:TALK116995@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Co-authors: Valeriy Slastikov (University of Bristol)\, Ross L
 und (NJIT). Recent advances in nanofabrication allow an unprecedented degr
 ee of control of ferromagnetic materials down to the atomic scale\, result
 ing in novel nanostructures whose properties are often dominated by materi
 al interfaces. Mathematically\, these systems give rise to challenging pro
 blems in the calculus of variations that feature non-convex\, vectorial\, 
 topologically constrained\, multi-scale variational problems. Yet despite 
 the daunting complexity inherent in the problem arising from the 21st cent
 ury technological applications\, rigorous variational analysis can still e
 lucidate energy-driven pattern formation in these systems. In this talk\, 
 I will discuss several examples of variational problems emerging from mode
 ls of current ferromagnetic nanostructures under development. With the hel
 p of asymptotic techniques and explicit solutions\, I will give three exam
 ples in which the energy minimizing configurations may be characterized in
  terms of optimal one-dimensional transition lay er profiles separating ma
 gnetic domains with different magnetization orientation.
LOCATION:Seminar Room 1\, Newton Institute
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