Spatial Coherence Resonance near Pattern-Forming Instabilities

Details Spatial Coherence Resonance near Pattern-Forming Instabilities Spatial Coherence Resonance near Pattern-Forming Instabilities

2003-06-10

arxiv.org/abs/cond-mat/0306256v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1209/epl/i2003-10105-4

The analogue of temporal coherence resonance for spatial degrees of freedom is reported. Specifically, we show that spatiotemporal noise is able to optimally extract an intrinsic spatial scale in nonlinear media close to (but before) a pattern-forming instability. This effect is observed in a model of pattern-forming chemical reaction and in the Swift-Hohenberg model of fluid convection. In the latter case, the phenomenon is described analytically via an approximate approach.

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