论文标题
异构媒介中随机步行的终身性恢复
Ergodicity recovery of random walk in heterogeneous disordered media
论文作者
论文摘要
在粒子跟踪实验中通常观察到显着和持续的轨迹向原门方差，这已成为实验数据分析的主要挑战。在这篇理论论文中，我们研究了奇迹般的恢复行为，这有助于阐明各种异构无序培养基中轨迹向原位波动的起源和融合。在轨迹分析的背景下，重新审视了自我平衡和成真性的概念。在不同情况下，缓慢的登山性恢复和在退火无序培养基中的非高斯扩散显示为中心极限定理的后果。在淬火无序的情况下报告了奇怪的奇异性恢复行为，这是由定位机制引起的。对于这种情况，将第一个小方法的方法引入了牙术分析，其中可以采用中心极限定理，并以扩散性相关性的长度尺度恢复了厄法率。
Significant and persistent trajectory-to-trajectory variance are commonly observed in the particle tracking experiments, which have become a major challenge for the experiment data analysis. In this theoretical paper, we investigate the ergodicity recovery behavior, which helps to clarify the origin and the convergence of trajectory-to-trajectory fluctuation in various heterogeneous disordered media. The concepts of self-averaging and ergodicity are revisited in the context of trajectory analysis. The slow ergodicity recovery and the non-Gaussian diffusion in the annealed disordered media are shown as the consequences of the central limit theorem in different situations. The strange ergodicity recovery behavior is reported in the quenched disordered case, which arises from a localization mechanism. The first-passage approach is introduced to the ergodicity analysis for this case, of which the central limit theorem can be employed and the ergodicity is recovered in the length scale of diffusivity correlation.
