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arXiv · 1906.05722

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

Raghavendra Venkatraman·Vivekanand Dabade·Richard D. James
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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 combines a number of well-developed techniques in energy-driven pattern formation with a recent regularity result for the kinetic formulation of the Eikonal equation of Ghiraldin and Lamy.

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Raghavendra Venkatraman, Vivekanand Dabade, Richard D. James. 2020-08-31. Bounds on the energy of a soft cubic ferromagnet with large magnetostriction. https://doi.org/10.1007/s00332-020-09653-6

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