Berlin 2012 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 2: Statistical Physics (General)

DY 2.8: Talk

Monday, March 26, 2012, 11:45–12:00, MA 004

Stochastically driven Preisach models of hysteresis — •Sven Schubert and Günter Radons — Chemnitz University of Technology, 09107 Chemnitz, Germany

The Preisach model is a phenomenological model which is successfully applied to describe hysteretic interrelations of various physical and non-physical origins. Hysteresis involves the development of a memory which is accountable for the multistability present in such systems.
It was shown recently [1] that this memory is reflected in long-time tails in the autocorrelation of the response of the Preisach model even for uncorrelated external driving fields. Hence, hysteresis is a mechanism for the generation of 1/f-noise. Using numerical simulations, these rigorous results are extended to models driven by Markovian input processes with finite correlation decay rate and by stochastic processes showing long-term correlations.
One observes that the autocorrelation of the hysteresis response does never decay faster than the autocorrelation of the external driving. We show that the rigorous results on Preisach models with uncorrelated input also hold asymptotically in presence of exponentially decaying input correlations. Furthermore, we show that uncorrelated driving fields can cause a slower correlation decay of the hysteresis response than long-term correlated driving fields.
[1] G. Radons, Phys. Rev. Lett. 100, 240602 (2008).