Energetics of interacting magnetized domains

David P. Jackson, Brennan Gantner
2001 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
Many of the pattern forming features of ferrofluids, lipid monolayers, type-I superconductors, and magnetic bubbles can be understood by treating them as dipolar ͑uniformly magnetized or polarized͒ domains. Here, we investigate the early stages of pattern formation in a system consisting of two quasi-two-dimensional dipolar domains. We calculate the linearized interaction energy for these domains and find that the lowest energy states are those for which each drop has an indentation directed
more » ... ntation directed toward the other. These theoretically preferred states compare favorably with results of experiments performed with ferrofluids.
doi:10.1103/physreve.64.056230 pmid:11736077 fatcat:oy5qf3ovibfspbzdwwxelas57u