Anomalous diffusion of self-propelled particles in directed random environments.
Anomalous diffusion of self-propelled particles in directed random environments.
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定向随机环境中自驱动粒子的反常扩散
DOI：
10.1103/physreve.90.030701
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通讯作者：
Santen L
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作者：
Shaebani MR;Sadjadi Z;Sokolov IM;Rieger H;Santen L
我们从理论上研究复杂结构上自驱动粒子的传输特性，例如细丝网络上的运动蛋白。开发了通用主方程形式来研究个体随机游走者的持续运动，这使我们能够识别关键参数的贡献：运动过程性以及底层网络的各向异性和异质性。我们证明了反常运动的不同动力学机制的存在，并且这些机制之间的交叉时间以及渐近扩散系数可以在生物学相关的控制参数范围内增加几个数量级。就连续空间中的运动而言，步行者的步进策略和持久性之间的相互作用被确立为短和中时间尺度的异常扩散的来源。
We theoretically study the transport properties of self-propelled particles on complex structures, such as motor proteins on filament networks. A general master equation formalism is developed to investigate the persistent motion of individual random walkers, which enables us to identify the contributions of key parameters: the motor processivity, and the anisotropy and heterogeneity of the underlying network. We prove the existence of different dynamical regimes of anomalous motion, and that the crossover times between these regimes as well as the asymptotic diffusion coefficient can be increased by several orders of magnitude within biologically relevant control parameter ranges. In terms of motion in continuous space, the interplay between stepping strategy and persistency of the walker is established as a source of anomalous diffusion at short and intermediate time scales.