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arXiv · 2203.01609

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

Jagannath Rana·Tridib Sadhu
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Abstract

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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Jagannath Rana, Tridib Sadhu. 2022-03-03. Large deviations of a tracer position in the dense and the dilute limits of a single-file diffusion. https://doi.org/10.1103/physreve.107.l012101

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