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.

Viewing alternatives

Metrics

Public Attention

Altmetrics from Altmetric

Number of Citations

Citations from Dimensions

Item Actions

Export

About

Recommendations