Figure 17.

Dynamics of charging slit nanopores from time-dependent DFT. (a) Total charge accumulated in a pore as a function of time for two pore widths H/d = 1.5 and H/d = 2, where d is the ion diameter, assumed the same for cations and anions. (b) Charging in the linear-log scale showing two exponential regimes denoted by long-dashed and short-dash lines. Initially, the charge grows as a square root of time and follows by two exponential regimes at intermediate and late times, in line with ref (112) (section 4.5.1, Figure 9) and molecular dynamics simulations^113,125 (section 6.4.2, Figure 30). In all plots, applied potential U = 10 and , where is the pore length. Reproduced with permission from ref (174). Copyright 2022 MDPI under CC BY (https://creativecommons.org/licenses/by/2.0/).