Lévy Walkers的衰老
Ageing in Mortal Superdiffusive Lévy Walkers
摘要：
越来越多的文献研究了超扩散亚弹道运动预测量（老化或时滞）对单粒子跟踪观测结果的影响。一个被忽视的方面是这些Lévy walkers的有限寿命，无论是蛋白质，细胞还是更大的结构。我们研究衰老的影响，对运动的致命的步行者，并讨论永久停止步行者可能被归类为“自然”死亡或实验文物，如低光稳定性或辐射损伤所产生的手段。这是通过比较步行者的均方位移（MSD）与一组步行者的传播速度，这是发现在时间滞后下是不变的。对于任何一个致命的随机步行者的运行时间分布，MSD由停止率$θ$调节。这为截断重尾扩散过程提供了一个物理解释，并作为一种工具，通过它可以更好地对随机游走器的运行时间分布进行分类。回火老化的MSDs提出的问题，曲解超扩散运动出现布朗或subdiffusive在一定的时间尺度。
英文摘要：
A growing body of literature examines the effects of superdiffusive subballistic movement pre-measurement (ageing or time lag) on observations arising from single-particle tracking. A neglected aspect is the finite lifetime of these Lévy walkers, be they proteins, cells or larger structures. We examine the effects of ageing on the motility of mortal walkers, and discuss the means by which permanent stopping of walkers may be categorised as arising from `natural' death or experimental artefacts such as low photostability or radiation damage. This is done by comparison of the walkers' mean squared displacement (MSD) with the front velocity of propagation of a group of walkers, which is found to be invariant under time lags. For any running time distribution of a mortal random walker, the MSD is tempered by the stopping rate $θ$. This provides a physical interpretation for truncated heavy-tailed diffusion processes and serves as a tool by which to better classify the underlying running time distributions of random walkers. Tempering of aged MSDs raises the issue of misinterpreting superdiffusive motion which appears Brownian or subdiffusive over certain time scales.
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