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/ωα, where α≈1.5 can be estimated from the critical exponents for interface depinning in random media.
@article{arxiv.cond-mat/9610053,
title = {Self similar Barkhausen noise in magnetic domain wall motion},
author = {Onuttom Narayan},
journal= {arXiv preprint arXiv:cond-mat/9610053},
year = {2009}
}