Interactions and Transport of Charged Species in Bulk and at Interfaces
Dynamics of Ion Transport in Ionic LiquidsAlpha Lee
Ionic liquids are molten salts at room temperature. Strong electrostatic and steric correlations between ions place the conventional Poisson-Nernst-Planck framework for electrokinetics on more tenuous ground.
I will discuss a continuum theory for ion transport in ionic liquids derived via coarse graining a simple exclusion process of interacting ions on a lattice . The resulting dynamical equations can be written as a gradient flow with a mobility matrix that vanishes at high ion densities. Our system of equations give rise to charging behaviour that is different to the one known for electrolytic solutions, but which agrees qualitatively with the phenomenology observed in experiments and simulations.
 A. A. Lee, S. Kondrat, D. Vella and A. Goriely, Phys. Rev. Lett., 115, 106101 (2015)