Self-organization of magnetic domain patterns

We model the self-organizing dynamics of two-dimensional magnetic domain patterns with magnetic bubble traps. Avalanches of topological rearrangements and domain destruction are simulated numerically. Asymptotic forms for distributions of avalanche sizes and lifetimes are found analytically. They are power laws with exponential damping factors. Experimental results are shown to obey these asymptotic forms, indicating that the experimentally observed self-organized state is sub-critical.