Self-Organized Critical Behavior in a Domain Wall Dynamics Model DescribingBarkhausen Effect

摘要

A simple domain wall dynamical model, incorporating a normal distribution ofpinning strengths on a simple cubic lattice of pinning sites, a nearest neighbor elastic interaction, and demagnetization effects with a simple dynamical rule, yields a succession of fractal scaling structures as the applied field is increased. Each domain wall configuration in the succession supports size effect cutoff power law distributions of avalanches (i.e., Barkhausen noise pulses) when perturbed. The size effect parameters correlate with the ranges of fractal scaling.