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The field-driven magnetisation reversal processes in disordered systemsexhibit a collective behaviour that is manifested in the scale-invariance ofavalanches, closely related to underlying dynamical mechanisms. Using themultifractal time series analysis, we study the structure of fluctuations atdifferent scales in the accompanying Barkhausen noise. The stochastic signalrepresents the magnetisation discontinuities along the hysteresis loop of a3-dimensional random field Ising model simulated for varied disorder strengthand driving rates. The analysis of the spectrum of the generalised Hurstexponents reveals that the segments of the signal with large fluctuationsrepresent two distinct classes of stochastic processes in weak and strongpinning regimes. Furthermore, increased driving rates have a profound effect onthe small fluctuation segments and broadening of the spectrum. The study of thetemporal correlations, sequences of avalanches, and their scaling featurescomplements the quantitative measures of the collective dynamics at thehysteresis loop. The multifractal properties of Barkhausen noise describe thedynamical state of domains and precisely discriminate the weak pinning,permitting the motion of individual walls, from the mechanisms occurring instrongly disordered systems. The multifractal nature of the reversal processesis particularly relevant for currently investigated memory devices that utilizea controlled motion of individual domain walls.

Multifractal structure of Barkhausen noise: A signature of collective dynamics at hysteresis loop