标题： 分数时间随机游走亚扩散和具有有限平均停留时间的异常输运：更快，而非更慢 显示英文标题

标题： Fractional time random walk subdiffusion and anomalous transport with finite mean residence times: faster, not slower

摘要： 连续时间随机游走（CTRW）亚扩散以及相关的分数阶福克-普朗克方程（FFPE）传统上是基于随机时钟具有发散的平均周期的前提。 这项工作考虑了一种替代的CTRW和FFPE描述，其特点是任何有限大小的空间域中的平均停留时间（MRTs）是有限的。 在非常大的时间尺度$\tau_c$上可能发生瞬态亚扩散传输，该时间尺度可以大大超过任何陷阱中的平均停留时间$\tau_c\gg <\tau>$，甚至与之无关。 在渐近情况下，在宏观尺度上传输变为正常，对于$t\gg\tau_c$。 然而，介观尺度的传输是异常的。 与粘弹性亚扩散不同，不需要位置增量之间的长程反相关性。 此外，我们的研究清楚地表明，在宏观尺度上，瞬态亚扩散和传输比从其正常渐近极限所预期的要快。 这一观察结果对生物细胞中的异常介观传输过程有深远的意义，因为细胞质的宏观粘度是有限的。 显示英文摘要

摘要： Continuous time random walk (CTRW) subdiffusion along with the associated fractional Fokker-Planck equation (FFPE) is traditionally based on the premise of random clock with divergent mean period. This work considers an alternative CTRW and FFPE description which is featured by finite mean residence times (MRTs) in any spatial domain of finite size. Transient subdiffusive transport can occur on a very large time scale $\tau_c$ which can greatly exceed mean residence time in any trap, $\tau_c\gg <\tau>$, and even not being related to it. Asymptotically, on a macroscale transport becomes normal for $t\gg\tau_c$. However, mesoscopic transport is anomalous. Differently from viscoelastic subdiffusion no long-range anti-correlations among position increments are required. Moreover, our study makes it obvious that the transient subdiffusion and transport are faster than one expects from their normal asymptotic limit on a macroscale. This observation has profound implications for anomalous mesoscopic transport processes in biological cells because of macroscopic viscosity of cytoplasm is finite.