随机动力学低噪声极限的过渡时间
Transition times in the low-noise limit of stochastic dynamics
摘要：
本文研究了在低噪声极限下过阻尼朗之万动力学中粒子在多维势阱间运动的跃迁时间分布。可能的过渡路径被限制在最可能的轨迹周围的细管中。我们证明，找到过渡时间分布减少到一个一维的问题。由此产生的过渡时间分布具有普遍和紧凑的形式。我们建议，过渡势垒可以估计从一个单一的温度实验，如果测量的寿命和过渡时间。
英文摘要：
We study the transition time distribution for a particle moving between two wells of a multidimensional potential in the low-noise limit of overdamped Langevin dynamics. Possible transition paths are restricted to a thin tube surrounding the most probable trajectory. We demonstrate that finding the transition time distribution reduces to a one-dimensional problem. The resulting transition time distribution has a universal and compact form. We suggest that transition barriers can be estimated from a single-temperature experiment if both the life times and the transition times are measured.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
