Modelling of the low-frequency solvent dielectric permittivity in nanochannels in the Electrical Double Layer length range

The charged solid-liquid interface parameter is increased importance in nanochannels since they have a high surface-to-volume ratio. The nano fluidics transport depends essential on the nano pores geometry and their surface properties. Surface charge is caused by the dissociation of surface groups and the specific (no electric) adsorptions of ions and molecules in solution to the surface. A typical value of high charge density and fully ionized surface is sigma_s = 0.3 cm^-2, corresponding to one charge per ~ 0.5 nm². The screening charge region of the surface neighborhood is denoted Electrical Double Layer (EDL) and results in electrostatic forces which govern transport in nano fluidic systems.