Preisach model with stochastic input as a model for viscosity

The viscosity phenomenon in hysteretic systems has been traditionally studied by using thermal activation-type models. In this paper, a new approach to viscosity modeling is explored. This approach is based upon the use of the Preisach hysteresis models driven by stochastic inputs. First, the scalar case is discussed, and the obtained results are compared with thermal activation-type models and with some known experimental facts. The paper is concluded by the discussion of the vector models for viscosity.