Abstract
We present a model for the study of the hysteretic behavior of a disordered ferromagnetic system with an array of parallel Bloch domain walls. We write the equations of motion of the walls under an external magnetic field driving, considering long-range dipolar interactions and disorder. We calculate analytically an expression for the magnetic susceptivity χ , and find a logarithmic dependence for χ on the number of domains. We study the dynamic hysteresis, which behavior could be explained by the theory of loss separation.
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