Dimensional crossover and universal roughness distributions in Barkhausen noise

Abstract

We investigate the dimensional crossover of scaling properties of avalanches (domain-wall jumps) in a single-interface model, used for the description of Barkhausen noise in disordered magnets. By varying the transverse aspect ratio $A=L_y/L_x$ of simulated samples, the system dimensionality changes from two to three. We find that perturbing away from $d=2$ is a relevant field. The exponent $\tau$ characterizing the power-law scaling of avalanche distributions varies between $1.06(1)$ for $d=2$ and $1.275(15)$ for $d=3$, according to a crossover function $f(x)$, $x\equiv (L_x^{-1}{)}^{\varphi }/A$, with $\varphi =0.95(3)$. We discuss the possible relevance of our results to the interpretation of thin-film measurements of Barkhausen noise. We also study the probability distributions of interface roughness, sampled among successive equilibrium configurations in the Barkhausen noise regime. Attempts to fit our data to the class of universality distributions associated to $1/f^{\alpha }$ noise give $\alpha \simeq 1-1.1$ for $d=2$ and 3 (provided that suitable boundary conditions are used in the latter case).

RevTeX4, final version to be published in Physical Review E

References in corpus (2)

• Depinning of elastic manifolds
• Universal interface width distributions at the depinning threshold

Cited by in corpus (7)

• Playing with universality classes of Barkhausen avalanches
• Universality and the collapse of multifractality in Barkhausen avalanches
• Statistical properties of Barkhausen noise in amorphous ferromagnetic films
• Universal properties of magnetization dynamics in polycrystalline ferromagnetic films
• Search for universal roughness distributions in a critical interface model
• Wavelet transforms in a critical interface model for Barkhausen noise
• Roughness of time series in a critical interface model