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

摘要

A simple scaling relationship has been found in the limited amplitude range of quasistatic minor hysteresis loops: W-a(*) = W-a(0) (M-a(*)/M-s)(n), where W-a(*) is the area enclosed by the minor hysteresis curve and minor- loop magnetization M-a(*) in the first quadrant. W-a(*) is related to the energy dissipated during the restoration process of domain walls toward the zero applied field state. M-s 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 W-a(0) a has information on microstructure and shows a simple linear relation to the applied stress. The dependence of W-a(0) a on applied stress and temperature can be explained by use of magneto-striction constants, the magneto-crystalline anisotropy, and electrical conductivity.