Anomalous single-file transport in short pores

For particles undergoing single-file diffusion, we have previously shown that switching between mobile and immobile particle states drives anomalously-slow collective transport [Farrell and Rutenberg, Phys Rev E 98 022114 (2018)] — for instance when particles bind to lateral walls of channels. The slowing was controlled by a density-dependent length-scale determined by the transition rates. Here we consider the anomalous transport within a pore of finite length L . We recover our earlier hydrodynamic regime for large L, with Fickian transport. For smaller L, we identify and characterize a new non-Fickian regime of anomalous transport. We characterize flux and fluctuations in this regime. We discuss the applications of our results to experimental nanopore systems, and within cells.