Self similar Barkhausen noise in magnetic domain wall motion

TL;DR

This paper presents a model demonstrating that long-range dipolar interactions in ferromagnets lead to self-similar Barkhausen noise with a characteristic power spectrum, linking magnetic domain dynamics to critical phenomena.

Contribution

It introduces a model showing how dipolar interactions induce self-similar domain wall motion and predicts the Barkhausen noise spectrum based on critical depinning exponents.

Findings

Power spectrum follows 1/ω^α form with α≈1.5

Self-similar dynamics observed during adiabatic field increase

Critical exponents relate to the noise spectrum shape

Abstract

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 $1/\omega^\alpha$, where $\alpha\approx 1.5$ can be estimated from the critical exponents for interface depinning in random media.