Pal P S, Park Jong-Min, Pal Arnab, Park Hyunggyu, Lee Jae Sung
School of Physics, <a href="https://ror.org/041hz9568">Korea Institute for Advanced Study</a>, Seoul 02455, Republic of Korea.
<a href="https://ror.org/011hxwn54">Asia Pacific Center for Theoretical Physics</a>, Pohang 37673, Republic of Korea.
Phys Rev E. 2024 Nov;110(5-1):054124. doi: 10.1103/PhysRevE.110.054124.
Stochastic resetting has recently emerged as an efficient target-searching strategy in various physical and biological systems. The efficiency of this strategy depends on the type of environmental noise, whether it is thermal or telegraphic (active). While the impact of each noise type on a search process has been investigated separately, their combined effects have not been explored. In this work, we explore the effects of stochastic resetting on an active system, namely a self-propelled run-and-tumble particle immersed in a thermal bath. In particular, we assume that the position of the particle is reset at a fixed rate with or without reversing the direction of self-propelled velocity. Using standard renewal techniques, we compute the mean search time of this active particle to a fixed target and investigate the interplay between active and thermal fluctuations. We find that the active search can outperform the Brownian search when the magnitude and flipping rate of self-propelled velocity are large and the strength of environmental noise is small. Notably, we find that the presence of thermal noise in the environment helps reduce the mean first passage time of the run-and-tumble particle compared to the absence of thermal noise. Finally, we observe that reversing the direction of self-propelled velocity while resetting can also reduce the overall search time.
随机重置最近已成为各种物理和生物系统中一种高效的目标搜索策略。该策略的效率取决于环境噪声的类型,无论是热噪声还是电报式(主动)噪声。虽然已经分别研究了每种噪声类型对搜索过程的影响,但它们的综合效应尚未得到探索。在这项工作中,我们探索随机重置对一个主动系统的影响,即一个浸没在热浴中的自驱动“奔跑-翻滚”粒子。具体而言,我们假设粒子的位置以固定速率重置,无论是否反转自驱动速度的方向。使用标准更新技术,我们计算这个主动粒子到达固定目标的平均搜索时间,并研究主动涨落和热涨落之间的相互作用。我们发现,当自驱动速度的大小和翻转速率较大且环境噪声强度较小时,主动搜索可以优于布朗搜索。值得注意的是,我们发现与没有热噪声的情况相比,环境中热噪声的存在有助于减少“奔跑-翻滚”粒子的平均首次通过时间。最后,我们观察到在重置时反转自驱动速度的方向也可以减少整体搜索时间。