• Letter

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

Jagannath Rana and Tridib Sadhu
Phys. Rev. E 107, L012101 – Published 17 January 2023
PDFHTMLExport Citation

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.

  • Figure
  • Figure
  • Received 3 March 2022
  • Revised 15 November 2022
  • Accepted 4 January 2023

DOI:https://doi.org/10.1103/PhysRevE.107.L012101

©2023 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Jagannath Rana* and Tridib Sadhu

  • Department of Theoretical Physics, Tata Institute of Fundamental Research, 1 Homi Bhabha Road, Mumbai 400005, India

  • *jagannath.rana@tifr.res.in

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 107, Iss. 1 — January 2023

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×