Response behavior of aging systems with temporal disorder.

Eule, Stephan

doi:10.1088/1742-5468/2016/04/043210

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Response behavior of aging systems with temporal disorder.

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Eule, Stephan
Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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http://iopscience.iop.org/article/10.1088/1742-5468/2016/04/043210/meta
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Zitation

Eule, S. (2016). Response behavior of aging systems with temporal disorder. Journal of Statistical Mechanics: Theory and Experiment, 2016(4): 043210. doi:10.1088/1742-5468/2016/04/043210.

Zitierlink: https://hdl.handle.net/11858/00-001M-0000-002A-C319-3

Zusammenfassung

Temporally disordered systems frequently exhibit complex intermittent dynamics accompanied by aging and weak ergodicity breaking. Here, we analyze the response behavior of temporally disordered dynamical processes by employing a functional representation. We find that the linear response to an external perturbation is history-dependent and explicitly calculate the response function for a sub-diffusive tracer particle confined in a harmonic potential. Our results demonstrate that the linear response function inherits the aging and weakly ergodic properties of the process, which has crucial implications for the interpretation of experimental measurements.