论文标题
速率和噪音引起的小费在音乐会上工作
Rate and Noise-Induced Tipping Working in Concert
论文作者
论文摘要
当坡道参数变化足够迅速以使系统在共存之间倾斜并吸引状态时，就会发生速率诱导的小费。我们表明，在系统中添加噪声可能会导致其尖端远低于发生率引起的小费的关键速率。此外，它这样做的可能性大大增加了噪声作用的可能性。我们通过在Freidlin-Wentzell动作功能的大型偏差理论的典型问题中找到一个全球最小化的方法来实现这一目标，这代表了最可能的小费途径。这被认为是与Freidlin-Wentzell Action相关的Euler-Lagrange系统的杂节连接，我们发现它的所有速率都小于或等于关键率的所有速率。它作为最可能的路径的作用是通过直接的蒙特卡洛模拟来证实的。
Rate-induced tipping occurs when a ramp parameter changes rapidly enough to cause the system to tip between co-existing, attracting states. We show that the addition of noise to the system can cause it to tip well below the critical rate at which rate-induced tipping would occur. Moreover it does so with significantly increased probability over the noise acting alone. We achieve this by finding a global minimizer in a canonical problem of the Freidlin-Wentzell action functional of large deviation theory that represents the most probable path for tipping. This is realized as a heteroclinic connection for the Euler-Lagrange system associated with the Freidlin-Wentzell action and we find it exists for all rates less than or equal to the critical rate. Its role as most probable path is corroborated by direct Monte Carlo simulations.
