Transport and escape in a deformable channel driven by fractional Gaussian noise

Transport and escape in a deformable channel driven by fractional Gaussian noise
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分数高斯噪声驱动的可变形通道中的传输和逃逸

DOI:
10.1103/physreve.100.022114
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发表时间:
2019
期刊:
影响因子:
2.4
通讯作者:
Kurths Juergen
Kurths Juergen
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Mei Ruoxing;Xu Yong;Kurths Juergen

文献摘要

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具有赫斯特指数的分数高斯噪声(FGN)是模拟生物物理系统中各种现象的重要工具,如在单个蛋白质分子中的次扩散。考虑到在这些系统中也存在一个可以被模拟为通道的受限结构,本文研究了FGN在可变形通道中的输运和逃逸。通过计算平均速度、通过最近瓶颈的平均首次通过时间(MFPT)和最终位置的概率分布,说明了FGN和信道结构对系统动力学的影响。结果表明,FGN在不同的噪声强度和噪声组合下具有复杂的影响机制。对于持续性情况,平均速度随噪声强度和的增大而减小,而MFPT随噪声强度和的增大而增大。而对于反持续情况,当持续时间较小时,平均速度、MFPT和噪声强度之间的关系与持续情况正好相反。当平均速度值较大时,平均速度有先减小后增大的趋势。此外,还研究了瓶颈和信道不对称性对系统性能的影响。结果表明,较小的航道宽度和较大的航道宽度可以导致较大的平均流速和较快的渡越速度。此外,渠道不对称还可以通过诱导非对称结构和调整瓶颈的宽度来影响系统的动力学。然而,瓶颈的影响是主要因素。因此,采用宽瓶颈航道与FGN相结合的反持续机制是促进输运和逃逸的最佳选择。这些结果为生物体内分子活性的解释和颗粒混合物分离器的设计提供了依据。
Fractional Gaussian noise (FGN) with the Hurst exponentis an important tool to model various phenomena in biophysical systems, like subdiffusion in a single protein molecule. Considering that there also exists a confined structure which can be modeled as a channel in these systems, transport and escape driven by FGN in a deformable channel are investigated in this paper. By calculating the mean velocity, and the mean first passage time (MFPT) for crossing the nearest bottleneck and the probability distribution of the final position, effects of FGN and channel structure on the system dynamics are illustrated. Our results indicate that FGN has a complex influence mechanism under different combinations ofand the noise intensity. For a persistence case, the mean velocity decreases but MFPT increases with the increase of the noise intensity and. While for an antipersistence case, whenis small, the relationships among the mean velocity, MFPT and the noise intensity are exactly the opposite to persistence cases. Whenhas a large value, the mean velocity tends to first decrease and then increase. Moreover, effects of the bottleneck and channel asymmetry are investigated. It is shown that a smalland a large channel width can lead to a large mean velocity and fast crossing. Besides, a channel asymmetry can affect the system dynamics by inducing asymmetric structure and adjusting the width of bottleneck. However, the effect of the bottleneck is the main factor. Therefore, a combination of channel with wide bottleneck and FGN in an antipersistence regime is the optimal choice to promote the transport and escape. These results provide a basis for the explanation of molecular activity in living organisms and the design of particle mixture separators.