Search for universal roughness distributions in a critical interface model

Details Search for universal roughness distributions in a critical interface model Search for universal roughness distributions in a critical interface model

2004-06-28

arxiv.org/abs/cond-mat/0406698v2

Physical Review E 71 016134 (2005)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.71.016134

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.

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