“…Analytic solutions based on a linearized mean-field Poisson-Boltzmann theory are known for weakly charged porous films [6][7][8], but these results do not apply to highly charged coatings, where nonlinear electrostatic effects could become significant, leading to super-properties. The non-linear electrostatic problem has been treated using numeric and semi-analytic approaches [6,9,10], and some simple expressions have also been proposed for thick, compared to the Debye screening length λ D , coatings [11,12]. The results suggest relations between the Donnan, Ψ D , and the surface, Ψ s , potentials for thick and/or weakly charged films [6,12], and that zeta-potential, which is the measure of electrokinetic mobility, generally exceeds Ψ s [10,13].…”