Self-organization of cellular magnetic-domain patterns

We model the self-organizing dynamics of two-dimensional magnetic-domain patterns. Using a random-neighbor approximation, avalanches of topological rearrangements and domain destruction are easily simulated numerically, and asymptotic forms for distributions of avalanche sizes and lifetimes can be given analytically. Recent experimental results for such distributions are found to obey these asymptotic forms, which permits us to classify the self-organized state observed in experiments as subcritical.