Extended Nernst–Planck Equation Incorporating Partial Dehydration Effect
Zhong Wang1† , Zhiyang Yuan1‡ , and Feng Liu1,2*
1 State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China2 Center for Quantitative Biology, Peking University, Beijing 100871, China
Abstract ：Novel ionic transporting phenomena emerge as nanostructures approach the molecular scale. At the sub-2 nm scale, widely used continuum equations, such as the Nernst–Planck equation, break down. Here, we extend the Nernst–Planck equation by adding a partial dehydration effect. Our model agrees with the reported ion fluxes through graphene oxide laminates with sub-2 nm interlayer spacing, outperforming previous models. We also predict that the selectivity sequences of alkali metal ions depend on the geometries of the nanostructures. Our model opens a new avenue for the investigation of the underlying mechanisms in nanofluidics at the sub-2 nm scale.
收稿日期: 2020-04-30
出版日期: 2020-09-01
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2020, Vol. 37 
