Dresden 2011 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 15: ISPS Intersectional Poster Session

DY 15.6: Poster

Tuesday, March 15, 2011, 18:00–20:00, P1

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

Hysteresis is a ubiquitous phenomenon. It is observed in physics (ferromagnetic materials), chemistry (catalysis), and mechanics (friction), to name same branches of science and examples therein. The most prominent and often successfully applied model is the so-called Preisach model of hysteresis. Its phenomenological character allows the simulation of the response of hysteretic systems from different scientific fields to external driving. We consider stochastic external driving fields and derive properties of the system’s response using rigorous methods and simulations.
The development of a hysteresis memory is reflected in the possibility of long-time tails in the autocorrelation of the system’s response even for uncorrelated external driving fields. Hence hysteresis is a mechanism for the generation of 1/f-noise [1]. These rigorous results are extended by simulations to driving fields showing long-term correlations themselves. One observes that the autocorrelation of the response does not decay faster than the autocorrelation of the external driving. But the picture is more complicated; there is a possibility that long-term memory in the hysteretic response is more pronounced in the case of uncorrelated driving than for correlated driving.
[1] G. Radons, Phys. Rev. Lett. 100, 240602 (2008).