# Anomalously slow transport in single-file diffusion with slow binding kinetics

Source: [Anomalously slow transport in single-file diffusion with slow binding kinetics](<https://www.sota2.com/research/paper/68fa383f1e209131ce8b8c21>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:54:03.265Z

Authors: Spencer G. Farrell, Andrew D. Rutenberg

Published: 2018-06-01T19:39:44.000Z

## Abstract

We computationally study the effects of binding kinetics to the channel wall, leading to transient immobility, on the diffusive transport of particles within narrow channels, that exhibit single-file diffusion (SFD). We find that slow binding kinetics leads to an anomalously slow diffusive transport. Remarkably, the scaled diffusivity $\\hat{D}$ characterizing transport exhibits scaling collapse with respect to the occupation fraction $p$ of sites along the channel. We present a simple "cage-physics" picture that captures the characteristic occupation fraction $p\_{scale}$ and the asymptotic $1/p^2$ behavior for $p/p\_{scale} \\gtrsim 1$. We confirm that subdiffusive behavior of tracer particles is controlled by the same $\\hat{D}$ as particle transport.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1806.00520>)

[PDF](<https://arxiv.org/pdf/1806.00520.pdf>)