抄録
Motions of magnetic domain walls are trapped at pinning points. The Barkhausen effect occurs at such pinning point break down inducing drastic transitions in flux structures. The domain energies are calculated from magnetic dipole moment interactions, which determine domain structures in the system. The flux structure transition occurs between loop and open domains with added field ΔH, which changes drastically the domain energy system and makes the lower energy states. The retarded trace method is based on the mechanisms of the domain system requiring the increased field steps for the changes, which nicely explains the experimental data of Fe nano-particles. This method can analyze B-H characteristics in various materials.