Modeling of viscosity phenomena in models of hysteresis with local memory

Magnetic viscosity phenomena are analyzed in the framework of various models of hysteresis with local history by using the Monte Carlo technique. Numerical results related to the decay of the magnetization as of function of time as well as to the viscosity coefficient are presented. It is shown that a log t - type dependence of the average value of the magnetization can be qualitatively predicted even in the framework of simplified models of hysteresis, such as the Jiles-Atherton and Hodgdon models. These models have only local memory and are computationally much more efficient than models with global memory like Preisach-type models.