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 agree with recent exact results obtained by microscopic solutions for specific model systems.
- Received 3 March 2022
- Revised 15 November 2022
- Accepted 4 January 2023
DOI:https://doi.org/10.1103/PhysRevE.107.L012101
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