Abstract
Ion transport in electrolytes with nanoscale confinements is of great importance in many fields such as nanofluidics and electrochemical energy devices. The mobility and conductance for ions are often described by the classical Debye-Hückel-Onsager (DHO) theory but this theory fails for ions near dielectric interfaces. We propose a generalized DHO theory by using the Wentzel-Kramers-Brillouin techniques for the solution of the Onsager-Fuoss equation with variable coefficients. The theory allows to quantitatively measure physical quantities of ion transport in nanodevices and is demonstrated to well explain the abnormal increase or decrease of the ionic mobility tuned via the dielectric mismatch. By numerical calculations, our theory unravels the crucial role of the size of confinements and the ionic concentration on the ion transport, and demonstrates that the dielectric polarization can provide a giant enhancement on the conductance of electrolytes in nanodevices. This mechanism provides a practical guide for related nanoscale technologies with controllable transport properties.
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