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

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.

5 pages, 2 figures, additional 7 pages of supplementary materials

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Cited by in corpus (5)

• Equation of state of hard-disk fluids under single-file confinement
• Effusion of stochastic processes on a line
• Generalized disorder averages and current fluctuations in run and tumble particles
• Current fluctuations in a semi-infinite line
• Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries: A Hydrodynamic Perspective