论文标题
关于与一般时间依赖性的时间平均密度和电流的相关性和波动
On correlations and fluctuations of time-averaged densities and currents with general time-dependence
论文作者
论文摘要
我们提出了对经验密度和电流的相关性和波动的描述和理解所需的技术结果，以及扩散过程的时间积聚和时间平均的热力学电流，并且一般时间依赖于所有时间尺度。特别是，我们概括了Arxiv：2105.10483（Phys。Rev。Lett。，in Press中的文章），ARXIV：2204.06553（Phys。Rev.Research，Press中的文章）和ARXIV：2206.04034的结果：2204.065534：2206.04034，可添加功能，具有明显的时间依赖性和短暂性和非固定性或非耐用性或不抑制了diffiuse diffiuse diffiuse。作为例证，我们将结果应用于二维和谐限制的旋转流中从非平稳初始分布演变的旋转流中的扩散。
We present technical results required for the description and understanding of correlations and fluctuations of the empirical density and current as well as diverse time-integrated and time-averaged thermodynamic currents of diffusion processes with a general time dependence on all time scales. In particular, we generalize the results from arXiv:2105.10483 (Phys. Rev. Lett., article in press), arXiv:2204.06553 (Phys. Rev. Research, article in press), and arXiv:2206.04034 to additive functionals with explicit time dependence and transient or non-ergodic overdamped diffusion. As an illustration we apply the results to two-dimensional harmonically confined overdamped diffusion in a rotational flow evolving from a non-stationary initial distribution.
