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Title: Noise-induced state transitions, intermittency, and universality in the noisy Kuramoto-Sivashinksy [sic] equation
Authors: Pradas, Marc
Tseluiko, Dmitri
Kalliadasis, Serafim
Papageorgiou, Demetrios T.
Pavliotis, Grigorios A.
Keywords: Noise
Kuramoto-Sivashinsky equation
Burgers equation
Issue Date: 2011
Publisher: © American Physical Society
Citation: PRADAS, M. ... (et al.), 2011. Noise-induced state transitions, intermittency, and universality in the noisy Kuramoto-Sivashinksy [sic] equation. Physical Review Letters, 106 (6), 060602.
Abstract: [We] consider the effect of pure additive noise on the long-time dynamics of the noisy Kuramoto- Sivashinsky (KS) equation close to the instability onset. When the noise acts only on the first stable mode (highly degenerate), the KS solution undergoes several state transitions, including critical on-off intermittency and stabilized states, as the noise strength increases. Similar results are obtained with the Burgers equation. Such noise-induced transitions are completely characterized through critical exponents, obtaining the same universality class for both equations, and rigorously explained using multiscale techniques.
Sponsor: We acknowledge financial support from EU-FP7 ITN Multiflow. D.T.P. was partly supported by NSF Grant DMS-0707339.
Version: Published
DOI: 10.1103/PhysRevLett.106.060602
URI: https://dspace.lboro.ac.uk/2134/15487
Publisher Link: http://dx.doi.org/10.1103/PhysRevLett.106.060602
ISSN: 0031-9007
Appears in Collections:Published Articles (Maths)

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