Europhys. Lett.
Volume 65, Number 4, February 2004
Page(s) 452 - 458
Section General
Published online 01 February 2004
Europhys. Lett., 65 (4) , pp. 452-458 (2004)
DOI: 10.1209/epl/i2003-10105-4

Spatial coherence resonance near pattern-forming instabilities

O. Carrillo1, M. A. Santos2, J. García-Ojalvo3, 4 and J. M. Sancho1

1  Departament d'Estructura i Constituents de la Matèria, Universitat de Barcelona Diagonal 647, E-08028 Barcelona, Spain
2  Service de Conformation de Macromolécules Biologiques et de Bioinformatique Campus Plaine, BC6, Université Libre de Bruxelles Boulevard du Triomph, CP 263, B-1050 Bruxelles, Belgium
3  Departament de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya Colom 11, E-08222 Terrassa, Spain
4  Center for Applied Mathematics, Cornell University 657 Rhodes Hall, Ithaca, NY 14853, USA

(Received 2 October 2003; accepted 1 December 2003)

The phenomenon of spatial coherence resonance is presented and studied. 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.

05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
89.75.Kd - Patterns.
05.45.-a - Nonlinear dynamics and nonlinear dynamical systems.

© EDP Sciences 2004