Dresden 2006 – scientific programme

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.18: Poster

Thursday, March 30, 2006, 16:00–18:00, P1

The Preisach model with stochastic input — •Falk Hesse and Günter Radons — University of Technology Chemnitz

Many materials in engineering and physics, such as piezoelectrics or shape memory alloys, show a strongly nonlinear input-output behaviour known as hysteresis. The Preisach formalism deals with the weigthed superposition of infinitely many independent elementary loops to model such hysteretic systems.

For the case of an Ornstein-Uhlenbeck process as input signal, we investigate the spectral density of the output generated by the Preisach operator. Since hysteresis deals with the history of the present input, the memory state of the system is taken into account. A correlation between the average memory length of the operator and the spectral density function of the generated output is shown. Furthermore the influence of the saturation for the average memory length is investigated. The importance of first-passage times of the underlying input process for the properties of the output as well of the memory is shown.