Stability of One-Dimensional Ferromagnetic Microstructures

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Abstract
The equilibrium equations for the distribution of magnetization directions in a homogeneous ferromagnetic body possess one-dimensional solutions with some resemblance to a domain structure. It is shown here that under strictly one-dimensional conditions, which are possible only in an infinite plane plate, all the solutions in which the magnetization is not uniform are unstable, and that the Bloch wall acquires its stability from three-dimensional considerations implicit in the initial formulation of the problem.

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