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Wavelet transforms in a critical interface model for Barkhausen noise.

S L A de Queiroz¹

¹Instituto de Física, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil. sldq@if.ufrj.br

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|March 21, 2008

Summary

This summary is machine-generated.

Wavelet transforms reveal uncorrelated avalanche waiting times in soft ferromagnets, consistent with the quenched Edwards-Wilkinson model. Finite driving rates introduce intra-avalanche correlations, affecting Barkhausen noise dynamics.

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Area of Science:

Condensed Matter Physics
Statistical Mechanics

Background:

Barkhausen noise in soft ferromagnets is modeled by critical interface dynamics.
Understanding avalanche behavior is key to characterizing magnetic domain wall motion.

Purpose of the Study:

Apply wavelet transforms to analyze avalanche dynamics in a critical interface model.
Investigate the impact of driving rates on correlations within Barkhausen noise.

Main Methods:

Utilized wavelet transform analysis on a 2D critical interface model (1D interface).
Focused on the adiabatic limit (very slow driving) and considered finite driving rates.
Examined waiting time distributions and size-size correlations between avalanches.

Main Results:

Interface roughness exponent zeta is approximately 1.20 in the adiabatic limit, matching the quenched Edwards-Wilkinson universality class.
Wavelet transform of waiting time autocorrelations and size-size correlations indicate white noise (uncorrelated events).
At finite driving rates, intermediate frequency correlations exhibit a 1/f(1.5) scaling, attributed to intra-avalanche correlations.

Conclusions:

Wavelet analysis confirms uncorrelated waiting times for slow driving in this ferromagnet model.
Finite driving rates introduce frequency-dependent correlations, offering insights into the intermittent nature of Barkhausen noise.