The confinement of an ionic liquid between charged solid surfaces is treated using an exactly solvable 1D Coulomb gas model. The theory highlights the importance of two dimensionless parameters: the fugacity of the ionic liquid, and the electrostatic interaction energy of ions at closest approach relative to thermal energy, in determining how the disjoining pressure exerted on the walls depends on the geometrical confinement. Our theory reveals that thermodynamic fluctuations play a vital role in the "squeezing out" of charged layers as the confinement is increased. The model shows good qualitative agreement with previous experimental data, with all parameters independently estimated without fitting.
@article{arxiv.1405.5448,
title = {Unravelling Nanoconfined Films of Ionic Liquids},
author = {Alpha A Lee and Dominic Vella and Susan Perkin and Alain Goriely},
journal= {arXiv preprint arXiv:1405.5448},
year = {2014}
}