Noise-induced tipping under periodic forcing: Preferred tipping phase in a non-adiabatic forcing regime
Noise-induced tipping under periodic forcing: Preferred tipping phase in a non-adiabatic forcing regime
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DOI：
10.1063/1.5083973
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发表时间：
2019-04-01
期刊：
影响因子：
2.9
通讯作者：
Volkening, Alexandria
中科院分区：
文献类型：
--
作者：
Chen, Yuxin;Gemmer, John A.;Volkening, Alexandria
考虑了在无噪声条件下具有两个稳定周期解的一维受迫Langevin方程。我们提出这样的问题：在这些周期解之间是否存在最有可能由噪声引起的过渡路径，从而使我们能够在发生倾翻时确定强迫的优选阶段？准静态制度，其中强制周期长的绝热弛豫时间相比，已经得到了很好的研究，我们的工作，而不是探索的情况下，这些时间尺度是可比的。我们计算最佳路径使用的路径积分方法结合Onsager-Machlup功能和验证结果与蒙特卡洛模拟。的首选倾翻阶段的结果进行比较的确定性方面的问题。我们确定的参数制度，零倾，在一个二维扩展相空间中的确定性问题，形成通道，通过该通道的最佳路径过境。由于零倾是独立的弛豫时间和噪声强度，这导致一个强大的确定性预测的首选倾翻阶段的政权，其中强制既不太快也不太慢。由AIP Publishing授权出版。
We consider a periodically forced 1D Langevin equation that possesses two stable periodic solutions in the absence of noise. We ask the question: is there a most likely noise-induced transition path between these periodic solutions that allows us to identify a preferred phase of the forcing when tipping occurs? The quasistatic regime, where the forcing period is long compared to the adiabatic relaxation time, has been well studied; our work instead explores the case when these time scales are comparable. We compute optimal paths using the path integral method incorporating the Onsager-Machlup functional and validate results with Monte Carlo simulations. Results for the preferred tipping phase are compared with the deterministic aspects of the problem. We identify parameter regimes where nullclines, associated with the deterministic problem in a 2D extended phase space, form passageways through which the optimal paths transit. As the nullclines are independent of the relaxation time and the noise strength, this leads to a robust deterministic predictor of the preferred tipping phase in a regime where forcing is neither too fast nor too slow. Published under license by AIP Publishing.