论文标题

示踪剂位置在致密和单文件扩散的稀限的大偏差

Large deviations of a tracer position in the dense and the dilute limits of a single-file diffusion

论文作者

Rana, Jagannath, Sadhu, Tridib

论文摘要

我们应用宏观波动理论来分析示踪剂在致密和扩散单文件系统的稀释极限中的长期统计。我们的明确结果是关于具有波动(退火)和固定(淬火)初始条件的初始步骤密度曲线的相应大偏差函数。这些流体力学结果适用于一般的单文件系统,它们确认了通过微观溶液获得特定模型系统获得的最新精确结果。

We apply the macroscopic fluctuation theory to analyze the long-time statistics of the position of a tracer in the dense and the dilute limits of diffusive single-file systems. Our explicit results are about the corresponding large deviation functions for an initial step density profile with the fluctuating (annealed) and the fixed (quenched) initial conditions. These hydrodynamic results are applicable for a general single-file system and they confirm recent exact results obtained by microscopic solutions for specific model systems.

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