Intrinsic anomalous scaling in a ferromagnetic thin film model

Abstract

Recently, the interest on theoretical and experimental studies of dynamic properties of the magnetic domain wall (MDW) of ferromagnetic thin films with disorder placed in an external magnetic field has increased. In order to study global and local measurable observables, 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. 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 have concluded that the universality classes should be analyzed in the context of the anomalous scaling theory. We show that the model is included in the group of systems with intrinsic anomalous scaling ($\zeta \simeq 1.5$, ${\zeta }_{\text{loc}}={\zeta }_s\simeq 0.5$), and that the surface of the MDW is multi-affine. With these results, we hope to establish in short term the scaling relations that verify the critical exponents of the model, including the dynamic exponent $z$, the exponents of the distributions of avalanche-size $\tau$ and -duration $\alpha$, among others.

11 pages, 7 figures, Accepted by EPJ B

References in corpus (11)

• Creep and flow regimes of magnetic domain wall motion in ultrathin Pt/Co/Pt films with perpendicular anisotropy
• Exactly solvable model of avalanches dynamics for Barkhausen crackling noise
• Dynamics below the depinning threshold
• Creep motion of an elastic string in a random potential
• Thermal rounding of the depinning transition
• Short time relaxation of a driven elastic string in a random medium
• Field-Driven Domain-Wall Dynamics in GaMnAs Films with Perpendicular Anisotropy
• Short-time domain-wall dynamics in the random-field Ising model with a driving field
• Dynamic effect of overhangs and islands at the depinning transition in two-dimensional magnets
• Universality class of the depinning transition in the two-dimensional Ising model with quenched disorder
• Dynamical scaling of imbibition in columnar geometries

Cited by in corpus (1)

• A numerical study of the statistics of roughness parameters for fluctuating interfaces