标题： 单粒子轨迹平均中的老化效应 显示英文标题

标题： Ageing effects in single particle trajectory averages

摘要： 我们研究无标度异常扩散过程中单粒子轨迹的时间平均，其中测量在过程开始后某个时间 t_a>0 开始，过程在时间原点 t=0 处启动。 使用老化更新理论，我们表明对于这种非平稳过程，一大类可观测量受到一个独特的老化函数的影响，该函数与边界条件或外力无关。 我们通过时间平均的分布和显式依赖于老化时间 t_a 的遍历性破坏参数来量化该过程的弱非遍历性质。 讨论了对单粒子追踪数据解释的影响。 显示英文摘要

摘要： We study time averages of single particle trajectories in scale free anomalous diffusion processes, in which the measurement starts at some time t_a>0 after initiation of the process at the time origin, t=0. Using ageing renewal theory we show that for such non-stationary processes a large class of observables are affected by a unique ageing function, which is independent of boundary conditions or the external forces. We quantify the weakly non-ergodic nature of this process in terms of the distribution of time averages and the ergodicity breaking parameter which both explicitly depend on the ageing time t_a. Consequences for the interpretation of single particle tracking data are discussed.