Publication 19-CNA-008

Bounds on the energy of a soft cubic ferromagnet with large magnetostriction

Raghavendra Venkatraman
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA
rvenkatr@andrew.cmu.edu

Vivekanand Dabade
LMS, École Polytechnique, CNRS
Université Paris-Saclay
Palaiseau 91128, France
vivekanand.dabade@polytechnique.edu

Richard D. James
Aerospace Engineering and Mechanics Department
University of Minnesota
Minneapolis, MN
james@umn.edu

Abstract: We complete the analysis initiated in [5] on the micromagnetics of cubic ferromagnets in which the role of magnetostriction is significant. We prove ansatz-free lower bounds for the scaling of the total micromagnetic energy including magnetostriction contribution, for a two-dimensional sample. This corresponds to the micromagnetic energy-per-unit-length of an infinitely thick sample. A consequence of our analysis is an explanation of the multi-scale zig-zag Landau state patterns recently reported in single crystal Galfenol disks from an energetic viewpoint. Our proofs use a number of well-developed techniques in energy-driven pattern formation.

Get the paper in its entirety as  19-CNA-008.pdf

---

«   Back to CNA Publications