Search for universal roughness distributions in a critical interface model

Abstract

We study the probability distributions of interface roughness, sampled among successive equilibrium configurations of a single-interface model used for the description of Barkhausen noise in disordered magnets, in space dimensionalities $d=2$ and 3. The influence of a self-regulating (demagnetization) mechanism is investigated, and evidence is given to show that it is irrelevant, which implies that the model belongs to the Edwards-Wilkinson universality class. We attempt to fit our data to the class of roughness distributions associated to $1/f^{\alpha }$ noise. Periodic, free, ``window'', and mixed boundary conditions are examined, with rather distinct results as regards quality of fits to $1/f^{\alpha }$ distributions.

RevTeX4, 10 pages, 9 .eps figures; final version, to be published in Phys. Rev. E

References in corpus (5)

• Depinning of elastic manifolds
• Width distribution of contact lines on a disordered substrate
• Universal interface width distributions at the depinning threshold
• Probability distribution of magnetization in the one-dimensional Ising model: Effects of boundary conditions
• Dimensional crossover and universal roughness distributions in Barkhausen noise

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• Wavelet transforms in a critical interface model for Barkhausen noise