Wavelet transforms in a critical interface model for Barkhausen noise
| dc.creator | de Queiroz, S. L. A. | |
| dc.date | 2007-06-11 | |
| dc.date | 2008-02-12 | |
| dc.date.accessioned | 2026-07-07T09:23:56Z | |
| dc.date.available | 2026-07-07T09:23:56Z | |
| dc.description | We discuss the application of wavelet transforms to a critical interface model, which is known to provide a good description of Barkhausen noise in soft ferromagnets. The two-dimensional version of the model (one-dimensional interface) is considered, mainly in the adiabatic limit of very slow driving. On length scales shorter than a crossover length (which grows with the strength of surface tension), the effective interface roughness exponent $ζ$ is $\simeq 1.20$, close to the expected value for the universality class of the quenched Edwards-Wilkinson model. We find that the waiting times between avalanches are fully uncorrelated, as the wavelet transform of their autocorrelations scales as white noise. Similarly, detrended size-size correlations give a white-noise wavelet transform. Consideration of finite driving rates, still deep within the intermittent regime, shows the wavelet transform of correlations scaling as $1/f^{1.5}$ for intermediate frequencies. This behavior is ascribed to intra-avalanche correlations. | |
| dc.description | RevTeX, 10 pages, 9 .eps figures; Physical Review E, to be published | |
| dc.identifier | https://arxiv.org/abs/0706.1574 | |
| dc.identifier | http://arxiv.org/abs/0706.1574 | |
| dc.identifier | Physical Review E 77, 021131 (2008) | |
| dc.identifier | doi:10.1103/PhysRevE.77.021131 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155919 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Wavelet transforms in a critical interface model for Barkhausen noise | |
| dc.type | text |