Random-Field Ising Models of Hysteresis

Abstract

This is a review article of our work on hysteresis, avalanches, and criticality. We provide an extensive introduction to scaling and renormalization--group ideas, and discuss analytical and numerical results for size distributions, correlation functions, magnetization, avalanche durations and average avalanche shapes, and power spectra. We focus here on applications to magnetic Barkhausen noise.

For inclusion in a book "The Science of Hysteresis, Vol. II", edited by Giorgio Bertotti and I. Mayergoyz