M. F. Torres, R. C. Buceta
Recently has increased the interest on theoretical and experimental study of dynamic properties of the magnetic domain wall (MDW) of ferromagnetic thin films with disorder placed in an external magnetic field. Here we consider the $(1+1)$-dimensional model introduced by Buceta and Muraca [Physica A 390 (2011) 4192], based on rules of evolution, that describe the MDW avalanches, in order to study global and local measurable observables. From the values of the roughness exponents, global $\zeta$, local $\zeta_\text{loc}$, and spectral $\zeta_s$, obtained from the global interface width, hight-difference correlation function and structure function, respectively, recent works has concluded that the universality classes should be analyzed in the context of the anomalous scaling theory. We show that the model is included into group of systems with intrinsic anomalous scaling ($\zeta\simeq 1.5 $, $\zeta_\text{loc}=\zeta_s\simeq 0.5 $). We also show that the surface of the MDW is multi-affine. With these results, we hope to soon establish the scaling relations that verify the critical exponents of the model, including the dynamic exponent $z$, the exponents of the size distribution of $\tau$ and duration $\alpha$ of avalanche, besides the already mentioned, among others.
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http://arxiv.org/abs/1206.3795
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