Papers › Non-Fickian single-file pore transport
Non-Fickian single-file pore transport
Spencer Farrell, Andrew D Rutenberg
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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 ⟨Φ⟩∼1/L³, 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 ⟨Φ⟩∼1/L. Longer systems are more often in a low flux state, leading to the non-Fickian behavior.
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