Magnetic vector aftereffect model

In addition to the decay of magnetization with time that occurs in scalar processes, in vector processes the magnetization must also rotate toward the easy axis. In this model, each hysteron is characterized by a critical surface. The energy of the hysteron is proportional to the size of the difference between the applied field and the particular point on the critical surface. An energy landscape is obtained by plotting the size of this difference as a function of magnetization angle. The equilibrium state is one in which the hysterons lie in the potential wells with a density given by Maxwell-Boltzmann statistics at room temperature. The logarithm of the time constant of the approach to equilibrium for a particular hysteron is given by the ratio of the barrier energy to the product of the absolute temperature and Boltzmann’s constant. This barrier energy is obtained by the difference of the nearest maximum to the well depth. The overall behavior is the sum of this effect for all the hysterons.