Single-File diffusion in a Box
Ludvig Lizana, Tobias Ambj\"ornsson

TL;DR
This paper derives an exact analytical solution for the diffusion of interacting particles in a finite 1D system, revealing three distinct temporal regimes and validating results with simulations, with potential applications in bio-nano sensors.
Contribution
It provides the first exact analytical expression for tagged particle diffusion in a finite 1D system with hard-core interactions using Bethe-ansatz.
Findings
Identification of three distinct diffusion regimes
Excellent agreement with stochastic simulations
Potential applications in bio-nano sensor development
Abstract
We study diffusion of (fluorescently) tagged hard-core interacting particles of finite size in a finite one-dimensional system. We find an exact analytical expression for the tagged particle probability density using a coordinate Bethe-ansatz, from which the mean square displacement is calculated. The analysis show the existence of three regimes of drastically different behavior for short, intermediate and large times. The results show excellent agreement with stochastic simulations (Gillespie algorithm). The findings of the Letter holds promise for the development of novel bio-nano sensors.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
