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Dynamics of a ferromagnetic domain wall and the Barkhausen effect

Pierre Cizeau·Stefano Zapperi·Gianfranco Durin·H. Eugene Stanley
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Abstract

We derive an equation of motion for the the dynamics of a ferromagnetic domain wall driven by an external magnetic field through a disordered medium and we study the associated depinning transition. The long-range dipolar interactions set the upper critical dimension to be $d_c=3$, so we suggest that mean-field exponents describe the Barkhausen effect for three-dimensional soft ferromagnetic materials. We analyze the scaling of the Barkhausen jumps as a function of the field driving rate and the intensity of the demagnetizing field, and find results in quantitative agreement with experiments on crystalline and amorphous soft ferromagnetic alloys.

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Pierre Cizeau, Stefano Zapperi, Gianfranco Durin, H. Eugene Stanley. 1997-09-26. Dynamics of a ferromagnetic domain wall and the Barkhausen effect. https://doi.org/10.1103/physrevlett.79.4669

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