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时滞反馈使Arrhenius逃逸转变为对数形式

Time-delayed feedback turns Arrhenius escape logarithmic

Roy Podgaetsky, Vishwajeet Kumar, Arnab Pal, Ohad Shpielberg

arXiv 2608.30624首次发表:更新:

发表机构

School of Chemistry, Tel Aviv University; The Institute of Mathematical Sciences; Homi Bhabha National Institute; University of Haifa(特拉维夫大学化学学院; 数学科学研究所; 霍米·巴巴国家研究所; 海法大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该研究揭示时滞反馈可消除Arrhenius逃逸的指数缩放,使逃逸时间对数化,还发现最优延迟能加速活化过程,为其提供了实验可行的调控参数。

AI 中文摘要

热逃逸遵循Arrhenius定律,平均逃逸时间随势垒高度呈指数缩放。我们表明,束缚力中的时滞反馈诱导的非马尔可夫性消除了这种指数缩放。超过最小值曲率设定的阈值后,延迟会使势阱失稳,热噪声引发的不稳定性随后被确定性放大至边界,形成“弹弓”逃逸轨迹。逃逸时间变为势垒的对数函数,其涨落服从Gumbel分布,且最优延迟可使逃逸快于自由扩散。我们的结果提出时滞作为可调且实验可行的控制参数,用于加速活化过程。

英文摘要

Thermal escape is governed by the Arrhenius law, where the mean escape time scales exponentially with the barrier height. We show that the non-Markovianity induced by time-delayed feedback in the confining force removes this exponential scaling. Beyond a threshold set by the curvature of the minimum, the delay destabilizes the well, and the thermal noise seeds an instability that is subsequently amplified deterministically to the boundary leading to \textit{slingshot} escape trajectories. The escape time becomes logarithmic in the barrier, its fluctuations follow a Gumbel law, and an optimal delay enables escape faster than free diffusion. Our results propose time delay as a tunable and experimentally feasible control parameter for accelerating activated processes.

论文原文

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