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System Size Resonance in Coupled Noisy Systems and in the Ising Model

  • We consider an ensemble of coupled nonlinear noisy oscillators demonstrating in the thermodynamic limit an Ising-type transition. In the ordered phase and for finite ensembles stochastic flips of the mean field are observed with the rate depending on the ensemble size. When a small periodic force acts on the ensemble, the linear response of the system has a maximum at a certain system size, similar to the stochastic resonance phenomenon. We demonstrate this effect of system size resonance for different types of noisy oscillators and for different ensemblesùlattices with nearest neighbors coupling and globally coupled populations. The Ising model is also shown to demonstrate the system size resonance.

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Author details:Arkadij PikovskijORCiDGND, Alexei A. Zaikin, M. A. de la Casa
Publication type:Article
Language:English
Year of first publication:2002
Publication year:2002
Release date:2017/03/24
Source:Physical Review Letters. - 88 (2002), 050601
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Institution name at the time of the publication:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik
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