Non-Fickian single-file pore transport

Abstract

Single file diffusion (SFD) exhibits anomalously slow collective transport when particles are able to immobilize by binding and unbinding to the one-dimensional channel within which the particles diffuse. We have explored this system for short pore-like channels using a symmetric exclusion process (SEP) with fully stochastic dynamics. We find that for shorter channels, a non-Fickian regime emerges for slow binding kinetics. In this regime the average flux $⟨\Phi ⟩\sim 1/L^3$, where $L$ is the channel length in units of the particle size. We find that a two-state model describes this behavior well for sufficiently slow binding rates, where the binding rates determine the switching time between high-flux bursts of directed transport and low-flux leaky states. Each high-flux burst is Fickian with $⟨\Phi ⟩\sim 1/L$. Longer systems are more often in a low flux state, leading to the non-Fickian behavior.

References in corpus (10)

• Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
• Fluids at the Nanoscale: from continuum to sub-continuum transport
• Large Deviations in Single File Diffusion
• The Lasting Effect of Initial Conditions on Single File Diffusion
• Kinetics and thermodynamics across single-file pores: solute permeability and rectified osmosis
• Large deviations of a tracer in the symmetric exclusion process
• Brownian asymmetric simple exclusion process
• How Interactions Control Molecular Transport in Channels
• Tracer dynamics in a single-file system with absorbing boundary
• Anomalously slow transport in single-file diffusion with slow binding kinetics

Cited by in corpus (1)

• Single-File Diffusion of Active Brownian Particles