A scaling power-law relation in magnetic minor hysteresis loops in Fe and Ni metals

A simple scaling relationship has been found in the limited amplitude range of quasistatic minor hysteresis loops: Wa* = Wa0(Ma*/Ms)n, where Wa* is the area enclosed by the minor hysteresis curve and minor-loop magnetization Ma* in the first quadrant. Wa* is related to the energy dissipated during the restoration process of domain walls toward the zero applied field state. Ms is the saturation magnetization and n has a constant value of about 1.0, being independent of ferromagnets, temperature, and lattice defects such as dislocations. The minor-loop effluence coefficient Wa0 has information on microstructure and shows a simple linear relation to the applied stress. The dependence of Wa0 on applied stress and temperature can be explained by use of magneto-striction constants, the magneto-crystalline anisotropy, and electrical conductivity