Berlin 2018 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 72: Poster: Stoch. and Nonl. Dy., Modeling, Compl. Sys.

DY 72.6: Poster

Donnerstag, 15. März 2018, 15:30–18:00, Poster A

On the dynamics of a periodically driven damped harmonic oscillator coupled to Ising spins — •Paul Zech and Günter Radons — Institute of Physics, Chemnitz University of Technology, D-09107 Chemnitz, Germany

We aim at an understanding of the dynamical properties of a periodically driven damped harmonic oscillator coupled to a system showing complex hysteresis, such as a random field Ising model at zero temperature. In a first step we investigate a simplified model, the harmonic oscillator coupled to independent spins in quenched random local fields. The model is characterized by continuous (position, velocity, phase) and discrete (spin) degrees of freedom, which classifies it as a hybrid system. By applying established methods of dynamical systems theory and time series analysis, such as Poincaré sections, the determination of Kaplan-Yorke and box-counting dimensions, and by Fourier analysis, we show, how in this system chaos emerges. Furthermore we investigate the dynamical behavior of the system for an increasing number of spins. In doing so we are specifically interested in the behavior as the thermodynamic limit is approached. In this limit the system behaves like a driven harmonic oscillator with an additional nonlinear smooth external force, which means, that the hybrid character of the system vanishes.