BARKHAUSEN NOISE - ELEMENTARY SIGNALS, POWER LAWS, AND SCALING RELATIONS

We report extensive measurements, with sufficiently large statistics, of the Barkhausen noise (BN) in the case of the commercial VITROVAC 60 25 X metal glass sample. Applying a very scrutinized numerical procedu re, we have extracted over one million of the BN elementary signals fr om the raw experimental data, whereby we made a rather precise estimat ion of the relevant power law exponents. In conjunction with the exper imental part of the work, we have recognized a generic shape of a sing le BN elementary signal (BNES), and we have put forward, without invok ing any existing model of BN, a simple mathematical expression for BNE S. Using the proposed expression for BNES in a statistical analysis, w e have been able to predict scaling relations and an elaborate formula for the power spectrum. We have also obtained these predictions withi n the generalized homogeneous function approach to the BNES's probabil ity distribution function, which we have substantiated by the correspo nding data collapsing analysis. Finally, we compare all our findings w ith results obtained within the current experimental and theoretical r esearch of BN.