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System size resonance in coupled noisy systems and in the Ising model

Pikovsky, A; Zaikin, A; de la Casa, MA; (2002) System size resonance in coupled noisy systems and in the Ising model. PHYS REV LETT , 88 (5) , Article 050601. 10.1103/PhysRevLett.88.050601. Green open access

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Abstract

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 ensembles-lattices with nearest neighbors coupling and globally coupled populations. The Ising model is also shown to demonstrate the system size resonance.

Type: Article
Title: System size resonance in coupled noisy systems and in the Ising model
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevLett.88.050601
Publisher version: http://dx.doi.org/10.1103/PhysRevLett.88.050601
Language: English
Keywords: ENHANCED STOCHASTIC RESONANCE, MEAN-FIELD MODEL, COHERENCE RESONANCE, SPATIOTEMPORAL SYNCHRONIZATION, BISTABLE SYSTEMS, OSCILLATORS, DRIVEN, INFORMATION, ENSEMBLES, BEHAVIOR
UCL classification: UCL
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Population Health Sciences > UCL EGA Institute for Womens Health
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Population Health Sciences > UCL EGA Institute for Womens Health > Womens Cancer
URI: https://discovery.ucl.ac.uk/id/eprint/155259
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