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Langevin approach to hysteresis and Barkhausen jump modeling in steel

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3 Author(s)
McMichael, R.D. ; National Institute of Standards and Technology, Gaithersburg, Maryland 20899 ; Swartzendruber, L.J. ; Bennett, L.H.

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To represent the multiplicity of metastable states in a bulk ferromagnetic material with domain‐wall pinning effects, fluctuations in the domain‐wall energies are described in terms of an ensemble of stochastic Langevin functions. The model parameters used are a correlation length, a rms value for the amplitude of the fluctuations in the domain‐wall energy gradient, and a ‘‘demagnetizing factor.’’ The model generates both hysteresis loops and Barkhausen effect (BE) jump size distributions. Jump size distributions were determined experimentally for low‐carbon rolled sheet steel with the field applied both parallel and perpendicular to the rolling direction. Both the model and the experimental BE jump size distributions show a power‐law behavior for small jumps and a rapid cutoff at large jump sizes.

Published in:

Journal of Applied Physics  (Volume:73 ,  Issue: 10 )