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

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