# Wavelet transforms in a critical interface model for Barkhausen noise - Condensed Matter > Statistical Mechanics

Wavelet transforms in a critical interface model for Barkhausen noise - Condensed Matter > Statistical Mechanics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We discuss the application of wavelet transforms to a critical interfacemodel, which is known to provide a good description of Barkhausen noise in softferromagnets. The two-dimensional version of the model one-dimensionalinterface is considered, mainly in the adiabatic limit of very slow driving.On length scales shorter than a crossover length which grows with the strengthof surface tension, the effective interface roughness exponent $\zeta$ is$\simeq 1.20$, close to the expected value for the universality class of thequenched Edwards-Wilkinson model. We find that the waiting times betweenavalanches are fully uncorrelated, as the wavelet transform of theirautocorrelations scales as white noise. Similarly, detrended size-sizecorrelations give a white-noise wavelet transform. Consideration of finitedriving rates, still deep within the intermittent regime, shows the wavelettransform of correlations scaling as $1-f^{1.5}$ for intermediate frequencies.This behavior is ascribed to intra-avalanche correlations.

Autor: S.L.A. de Queiroz

Fuente: https://arxiv.org/