Dresden 2009 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 12: Poster I

DY 12.29: Poster

Tuesday, March 24, 2009, 14:30–16:30, P1A

Noise driven hysteresis — •Sven Schubert and Günter Radons — Chemnitz University of Technology, D-09107 Chemnitz

Many physical and technical systems such as shape memory alloys, magnetic nanoparticles, or certain friction models are characterized by non-trivial hysteretic behavior. The fact that either deterministic external fields are superimposed by thermal noise or input seems to be entirely erratic itself leads to questions concerning stochastic processes under hysteresis. We mainly investigate spectral properties and autocorrelation of Preisach hysteresis models driven by stochastic input scenarios.
Since hysteresis is able to create long-term memory, it is possible to observe an algebraic decay of the output autocorrelation function and 1/f-noise even for δ-correlated input trajectories [1]. We always observe an emphasized low frequency regime, respectively an increase in correlation times, for δ-correlated noise driven hysteresis.
Furthermore, we investigate how correlated input processes, including fractional Gaussian noise (fGN), are transformed by hysteretic operators. In contrast to uncorrelated input processes, a further increase in output correlation times is not enforced for fGN driven hysteresis. Additionally, first results are presented on how similarly correlated processes from different sources are treated under the influence of hysteresis.
[1] G. Radons, Phys. Rev. Lett. 100, 240602 (2008).