论文标题
Langevin Systems具有超级巨星，不相关或相关扩散率的奇异性质
Ergodic property of Langevin systems with superstatistical, uncorrelated or correlated diffusivity
论文作者
论文摘要
最近在许多生物学和活性物质系统中观察到了布朗但非高斯的扩散。非高斯分布的原因已经在超级巨星动力学或扩散扩散率的思想中进行了精心研究。基于一个随机扩散率模型，我们在这里关注的是厄乳态性能和时间平均均值位移（TAMSD）的幅度的散射。此外，我们分别使用三类扩散率研究了该模型，包括扩散率是一个随机变量$ d $，是时间依赖但不相关的扩散率$ d（t）$，以及相关的随机过程$ d（t）$。我们发现，合奏平均的TAMSS始终是正常的，而合奏平均于点的位移可能是异常的。此外，无限幅度的散射取决于扩散率$ d（t）$的时间平均值。我们的结果对任意扩散有效。
Brownian yet non-Gaussian diffusion has recently been observed in numerous biological and active matter system. The cause of the non-Gaussian distribution have been elaborately studied in the idea of a superstatistical dynamics or a diffusing diffusivity. Based on a random diffusivity model, we here focus on the ergodic property and the scatter of the amplitude of time-averaged mean-squared displacement (TAMSD). Further, we individually investigate this model with three categories of diffusivities, including diffusivity being a random variable $D$, a time-dependent but uncorrelated diffusivity $D(t)$, and a correlated stochastic process $D(t)$. We find that ensemble-averaged TAMSDs are always normal while ensemble-averaged mean-squared displacement can be anomalous. Further, the scatter of dimensionless amplitude is determined by the time average of diffusivity $D(t)$. Our results are valid for arbitrary diffusivities.
