Non-Fickian single-file pore transport.

  title={Non-Fickian single-file pore transport.},
  author={Spencer G. Farrell and Andrew D. Rutenberg},
  journal={Physical review. E},
  volume={104 3},
Single-file diffusion 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 porelike channels using a symmetric exclusion process 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/L^{3}, where L is the channel length in units… 

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