Stoner-Wohlfarth hysteresis model with stochastic input as a model of viscosity in magnetic materials

The Stoner-Wohlfarth hysteresis model with stochastic input is used to describe viscosity or creep in magnetic materials. An expression for the expected value of the magnetic moment of Stoner-Wohlfarth particles as a function of time is derived. It is found that this expected value for each particle decays exponentially to a history-independent value. An expression for the expected value of the average magnetization as given by the Stoner-Wohlfarth model is derived. The analysis is based on the Preisach-like formalism proposed for the Stoner-Wohlfarth model