Noise induced state transitions, intermittency, and universality in the noisy Kuramoto-Sivashinksy equation |
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Authors: | Pradas M Tseluiko D Kalliadasis S Papageorgiou D T Pavliotis G A |
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Institution: | Department of Chemical Engineering, Imperial College London, London, SW7 2AZ, United Kingdom. |
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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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