Preisach model driven by stochastic inputs as a model for aftereffect

This review article summarizes our work during the past five years on a new approach to the modeling of aftereffect phenomena in hysteretic systems. This approach is based on Preisach type models driven by stochastic inputs. Both the classical and nonlinear Preisach models are employed in this approach. Thermal perturbations which result in the gradual loss of memory in hysteretic systems are modeled by discrete and continuous time stochastic inputs. The important properties of the aftereffect model are highlighted and compared with the traditional thermal activation type models and with some known experimental facts.