论文标题
噪声引起的稳定性和随机重置的相互作用
Interplay of noise induced stability and stochastic resetting
论文作者
论文摘要
随机重置和增强噪声的稳定性是两个现象，可以影响非平衡状态的寿命和放松。当随机系统必须达到所需状态时，它们可以视为控制完成过程效率的衡量标准。在这里，我们研究了不稳定电势中随机重置和随机动力学的相互作用。与噪声引起的稳定性增加了松弛时间，随机重置可能会消除有助于生命周期的绕组轨迹，并加速不稳定状态的逃生动力学。在本文中，我们提出了一个框架，以分析在噪声驱动的动力学中的两个对比现象之间的妥协，但要随机重新启动。
Stochastic resetting and noise-enhanced stability are two phenomena which can affect the lifetime and relaxation of nonequilibrium states. They can be considered as measures of controlling the efficiency of the completion process when a stochastic system has to reach a desired state. Here, we study interaction of random (Poissonian) resetting and stochastic dynamics in unstable potentials. Unlike noise-induced stability which increases the relaxation time, the stochastic resetting may eliminate winding trajectories contributing to the lifetime and accelerate the escape kinetics from unstable states. In the paper we present a framework to analyze compromises between the two contrasting phenomena in a noise-driven kinetics subject to random restarts.
