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

Pradas, M.; Tseluiko, D.; Kalliadasis, S.; Papageorgiou, D. T. and Pavliotis, G. A. (2011). Noise induced state transitions, intermittency, and universality in the noisy Kuramoto-Sivashinksy equation. Physical Review Letters, 106(6), article no. 060602.

DOI: https://doi.org/10.1103/PhysRevLett.106.060602

Abstract

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.

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