Noise induced state transitions, intermittency, and universality in the noisy Kuramoto-Sivashinksy equation.
Noise induced state transitions, intermittency, and universality in the noisy Kuramoto-Sivashinksy equation.
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噪声引起的状态转换、间歇性和噪声 Kuramoto-Sivashinksy 方程中的普遍性。
DOI：
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发表时间：
2010
影响因子：
8.6
通讯作者：
G. Pavliotis
中科院分区：
文献类型：
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作者：
M. Pradas;D. Tseluiko;S. Kalliadasis;Demetrios T. Papageorgiou;G. Pavliotis
考虑纯加性噪声对靠近不稳定起始点的噪声 Kuramoto-Sivashinsky (KS) 方程的长期动态的影响。当噪声仅作用于第一稳定模式（高度简并）时，随着噪声强度的增加，KS 解会经历多次状态转换，包括临界开关间歇和稳定状态。使用 Burgers 方程也可以得到类似的结果。这种噪声引起的转变完全通过临界指数来表征，为两个方程获得相同的普遍性类别，并使用多尺度技术进行严格解释。
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.