柯西噪声下的多模态stationary states
Multimodal stationary states under Cauchy noise
摘要：
Lévy噪声是对非平衡系统的有效描述。Lévy飞行的存在导致了大量的噪声诱导现象。其中，Lévy flights可以在单阱势中产生具有多个模态值的定态。在这里，我们探索在特殊的双势阱势的稳态证明，一个足够高的势垒分离的势阱可以产生双峰稳态在每个势阱。此外，我们探讨了势垒高度的降低如何影响定态的多峰性。最后，我们探讨了多模态的定态噪声引起的逃逸的静态势垒的作用。
英文摘要：
A Lévy noise is an efficient description of out-of-equilibrium systems. The presence of Lévy flights results in a plenitude of noise-induced phenomena. Among others, Lévy flights can produce stationary states with more than one modal value in single-well potentials. Here, we explore stationary states in special double-well potentials demonstrating that a sufficiently high potential barrier separating potential wells can produce bimodal stationary states in each potential well. Furthermore, we explore how the decrease in the barrier height affects the multimodality of stationary states. Finally, we explore a role of the multimodality of stationary states on the noise induced escape over the static potential barrier.
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