摘要翻译：
我们讨论了小波变换在临界界面模型中的应用，该模型可以很好地描述软铁磁体中的巴克豪森噪声。模型的二维版本（一维界面）被考虑，主要在极慢驱动的绝热极限。在长度小于交变长度（交变长度随表面张力的增大而增大）的尺度上，有效界面粗糙度指数$\zeta$为$\simeq1.20$,接近淬火Edwards-Wilkinson模型普适性的期望值。我们发现雪崩之间的等待时间是完全不相关的，因为它们的自相关的小波变换尺度是白噪声。类似地，被削减的尺寸-尺寸相关给出了白噪声小波变换。考虑到有限驱动速率，仍然深入间歇区，显示了中频相关尺度为$1/f^{1.5}$的小波变换。这种行为归因于雪崩内部的相关性。
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英文标题：
《Wavelet transforms in a critical interface model for Barkhausen noise》
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作者：
S.L.A. de Queiroz
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最新提交年份：
2008
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics        物理学
二级分类：Disordered Systems and Neural Networks        无序系统与神经网络
分类描述：Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜；随机、非周期和准周期系统的性质；无序介质中的传输；本地化；由缺陷和无序介导的现象；神经网络
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英文摘要：
  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 $\zeta$ 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.
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PDF链接：
https://arxiv.org/pdf/706.1574