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Noise-induced state transitions, intermittency, and universality in the noisy Kuramoto-Sivashinksy [sic] equation

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posted on 2014-08-11, 09:01 authored by Marc Pradas, Dmitri TseluikoDmitri Tseluiko, Serafim Kalliadasis, Demetrios T. Papageorgiou, Grigorios A. Pavliotis
[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.

Funding

We acknowledge financial support from EU-FP7 ITN Multiflow. D.T.P. was partly supported by NSF Grant DMS-0707339.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

PHYSICAL REVIEW LETTERS

Volume

106

Issue

6

Pages

? - ? (4)

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.

Publisher

© American Physical Society

Version

  • VoR (Version of Record)

Publication date

2011

ISSN

0031-9007

eISSN

1079-7114

Language

  • en

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