An electric double layer capacitor (EDLC) stores energy by modulating the spatial distribution of ions in the electrolytic solution that it contains. We determine the mean-field time scales for planar EDLC relaxation to equilibrium, after a potential difference is applied. We tackle first the fully symmetric case, where positive and negative ionic species have same valence and diffusivity, and then the general, more complex, asymmetric case. Depending on applied voltage and salt concentration, different regimes appear, revealing a remarkably rich phenomenology relevant for nanocapacitors.
@article{arxiv.2301.00610,
title = {Charging dynamics of electric double layer nanocapacitors in mean-field},
author = {Ivan Palaia and Adelchi J. Asta and Megh Dutta and Patrick B. Warren and Benjamin Rotenberg and Emmanuel Trizac},
journal= {arXiv preprint arXiv:2301.00610},
year = {2025}
}