Effects of surface-charge regulation, convection, and slip lengths on the electrical conductance of charged nanopores

The nanofluidic paradigm that low-concentration conductance is concentration-independent has recently come under scrutiny. Recent works have shown that the conductance depends on the concentration and that the slope, α, ranges between 0 and $1/2$. However, experiments have also measured slopes of $2/3$ and 1. In this work an analytical solution for the conductance is derived that accounts for surface charge regulation (SCR), advection (ADV), and slip-lengths (SL). This parameter free model demonstrates that α is determined by SCR, ADV, SL, and ranges between 0 and 1. Consequently our results imply that all three phenomena are essential in the design of nanofluidic systems.