Anomalous transport tuned through stochastic resetting in the rugged energy landscape of a chaotic system with roughness,Physical Review E

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Anomalous transport tuned through stochastic resetting in the rugged energy landscape of a chaotic system with roughness
Physical Review E ( IF 2.2 ) Pub Date : 2022-09-22 , DOI: 10.1103/physreve.106.034208
Yuhui Luo _{1,

2} , Chunhua Zeng ₁ , Tao Huang ₁ , Bao-Quan Ai ₃

Affiliation

Stochastic resetting causes kinetic phase transitions, whereas its underlying physical mechanism remains to be elucidated. We here investigate the anomalous transport of a particle moving in a chaotic system with a stochastic resetting and a rough potential and focus on how the stochastic resetting, roughness, and nonequilibrium noise affect the transports of the particle. We uncover the physical mechanism for stochastic resetting resulting in the anomalous transport in a nonlinear chaotic system: The particle is reset to a new basin of attraction which may be different from the initial basin of attraction from the view of dynamics. From the view of the energy landscape, the particle is reset to a new energy state of the energy landscape which may be different from the initial energy state. This resetting can lead to a kinetic phase transition between no transport and a finite net transport or between negative mobility and positive mobility. The roughness and noise also lead to the transition. Based on the mechanism, the transport of the particle can be tuned by these parameters. For example, the combination of the stochastic resetting, roughness, and noise can enhance the transport and tune negative mobility, the enhanced stability of the system, and the resonant-like activity. We analyze these results through variances (e.g., mean-squared velocity, etc.) and correlation functions (i.e., velocity autocorrelation function, position-velocity correlation function, etc.). Our results can be extensively applied in the biology, physics, and chemistry, even social system.

中文翻译：

在具有粗糙度的混沌系统的崎岖能量景观中通过随机重置调整异常传输

随机重置导致动力学相变，而其潜在的物理机制仍有待阐明。我们在这里研究粒子在具有随机重置和粗糙势能的混沌系统中运动的异常输运，并重点关注随机重置、粗糙度和非平衡噪声如何影响粒子的输运。我们揭示了随机重置导致非线性混沌系统中异常输运的物理机制：粒子被重置到一个新的吸引力盆地，从动力学的角度来看，该盆地可能与最初的吸引力盆地不同。从能量景观的角度来看，粒子被重置为能量景观的新能量状态，该能量状态可能与初始能量状态不同。这种重置可以导致无传输和有限净传输之间或负迁移率和正迁移率之间的动力学相变。粗糙度和噪音也会导致过渡。基于该机制，粒子的传输可以通过这些参数进行调整。例如，随机重置、粗糙度和噪声的组合可以增强传输和调整负迁移率，增强系统的稳定性和类似共振的活动。我们通过方差（例如，均方速度等）和相关函数（即，速度自相关函数、位置-速度相关函数等）来分析这些结果。我们的研究成果可以广泛应用于生物学、物理学、化学甚至社会系统。

更新日期：2022-09-22

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