A model for domain wall motion in ferromagnets is analyzed. Long-range magnetic dipolar interactions are shown to give rise to self-similar dynamics when the external magnetic field is increased adiabatically. The power spectrum of the resultant Barkhausen noise is of the form 1/ω^α, where α≈1.5 can be estimated from the critical exponents for interface depinning in random media.
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Onuttom Narayan (1996) studied this question.
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