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Updated: Aug 9, 2025

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
Large deviations of a tracer position in the dense and the dilute limits of single-file diffusion
Jagannath Rana1, Tridib Sadhu1
1Department of Theoretical Physics, Tata Institute of Fundamental Research, 1 Homi Bhabha Road, Mumbai 400005, India.
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.
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