Eur. Phys. J. B (2013) 86: 20
https://doi.org/10.1140/epjb/e2012-30482-6

Regular Article

Intrinsic anomalous scaling in a ferromagnetic thin film model

¹ Departamento de Física, FCEyN, Universidad Nacional de Mar del Plata, B7602 AYL Mar del Plata, Argentina
² Instituto de Investigaciones Físicas de Mar del Plata, UNMdP and CONICET Funes 3350, B7602 AYL Mar del Plata, Argentina

^a e-mail: rbuceta@mdp.edu.ar

Received: 18 June 2012
Received in final form: 27 August 2012
Published online: 23 January 2013

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, 4192 (2011)], based on rules of evolution that describe the MDW avalanches. From the values of the roughness exponents, global ζ, local ζ_loc, and spectral ζ_s, obtained from the global interface width, height-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 (ζ ≃ 1.5, ζ_loc = ζ_s ≃ 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 τ and -duration α, among others.