过阻尼二聚体的条件驻留时间和顺序跃迁动力学
Conditional Residence Times and Sequential Transition Dynamics of an Overdamped Dimer
AI总结：
研究热涨落和弱周期力下过阻尼二聚体的完成动力学，用条件驻留时间研究两单体连续越障延迟，发现其分布受滞后单体逃逸时间与外部驱动周期竞争影响，平均CRT对驱动频率非单调依赖，证明跃迁启动和完成是独立过程。
摘要：
我们研究了在热涨落和弱周期力作用下，在双稳势中移动的过阻尼二聚体的完成动力学。两个单体开始于由势垒隔开的两个阱之一中。当靠近势垒的单体越过势垒时，跃迁开始。完成动力学是指动力学的下一部分，其中第二个单体必须等待一段时间才能跟进。我们使用条件驻留时间（CRT）来研究两个单体连续越过势垒之间的延迟。CRT分布突出了由滞后单体的逃逸时间与外部驱动周期之间的竞争形成的定性不同的区域。在弱耦合区域中，这种效应最强，延迟完成分布在多个强迫周期中。通过将此过程划分为三个窗口，即即时、第一个周期和后续周期，我们表明，随着我们改变驱动频率，滞后单体在所述周期中进行跃迁的概率在这些路径之间重新分布。这导致平均CRT对驱动频率的非单调依赖性。我们的结果表明，耦合系统中的跃迁启动和完成是两个独立的过程，并将CRT确立为量化耦合随机系统中顺序势垒穿越动力学的有用度量。
英文摘要：
We investigate the completion dynamics of an overdamped dimer moving in a bistable potential under thermal fluctuations and a weak periodic force. Both monomers start in one of the two wells separated by a barrier. The transition is initiated when the monomer closer to the barrier makes a jump across it. The completion dynamics refers to the next part of the dynamics where the second monomer has to wait for some time before it can follow up. We use the Conditional Residence Time (CRT) to study the delay between the successive barrier crossing of the two monomers. The CRT distributions highlight qualitatively different regimes formed by the competition between the escape times of the lagging monomer and the time period of the external drive. The effect is strongest in the weak coupling regime where the delayed completion is spread across multiple forcing cycles. By partitioning this process into three windows, i.e. the immediate, first cycle and later cycles, we show that the probability that the lagging monomer will make a transition in the said cycle is redistributed among these pathways as we change the frequency of the drive. This leads to a non-monotonic dependence of the mean CRT on the frequency of the drive. Our results demonstrate that transition initiation and completion in a coupled system are two separate processes and establish CRT as a useful measure to quantify the sequential barrier crossing dynamics in coupled stochastic systems.
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