We derive an equation of motion for 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 dc = 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.
Dynamics of a ferromagnetic domain wall and the Barkhausen effect / P. Cizeau, S. Zapperi, G. Durin, H. Eugene Stanley. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 79:23(1997 Dec 08), pp. 4669-4672.
Dynamics of a ferromagnetic domain wall and the Barkhausen effect
S. Zapperi;
1997
Abstract
We derive an equation of motion for 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 dc = 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.File | Dimensione | Formato | |
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