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.
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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-pp.ucl.ac.uk/id/eprint/155259 |
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