Large deviations of a tracer position in the dense and the dilute limits of a single-file diffusion
Statistical Mechanics
2023-02-01 v1 Soft Condensed Matter
Chemical Physics
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.
Keywords
Cite
@article{arxiv.2203.01609,
title = {Large deviations of a tracer position in the dense and the dilute limits of a single-file diffusion},
author = {Jagannath Rana and Tridib Sadhu},
journal= {arXiv preprint arXiv:2203.01609},
year = {2023}
}
Comments
5 pages, 2 figures, additional 7 pages of supplementary materials