论文标题

带电纳米孔的电导

Electrical conductance of charged nanopores

论文作者

Green, Yoav

论文摘要

纳米孔对电势下降的反应的特征是其电导\ tilde {g}。长期以来,人们一直认为,在低浓度下,电导与电解质浓度无关,\ tilde {c} _0,因此\ tilde {g}〜\ tilde {c} _0^0。最近已经证明,表面电荷调节将依赖性变化为\ tilde {g}〜\ tilde {c} _0^α,其中斜率通常将值α= 1/3或1/2采用。然而,实验观察到了2/3和1的斜率,表明出现了其他机制,例如对流和滑移长度。我们表明,对流的包含不会改变斜率,而滑动长度的包含将斜率加倍。在这里,我们阐明了表面电荷调节,对流和滑动长度之间的相互作用。我们表明,当所有效应均考虑到αcan的所有效果以0到1之间的含量。该结果在设计以其电导率为特征的任何电动驱动的纳米流体系统中至关重要。

A nanopores's response to an electrical potential drop is characterized by its electrical conductance, \tilde{G}. It has long been thought that at low concentrations, the conductance is independent of the electrolyte concentration, \tilde{c}_0, such that \tilde{G} ~ \tilde{c}_0^0. It has been recently demonstrated that surface charge regulation changes the dependency to be \tilde{G} ~ \tilde{c}_0^α where the slope typically takes the values α= 1/3 or 1/2. Yet, experiments have observed slopes of 2/3 and 1 suggesting that additional mechanisms, such as convection and slip-lengths, appear. We show that the inclusion of convection doesn't vary the slope, while the inclusion of a slip length doubles the slope value. Here, we elucidate the interplay between surface charge regulation, convection, and slip-lengths. We show that when all effects are accounted for αcan take any value between 0 and 1. This result is of utmost importance in designing any electro-kinetically driven nanofluidic system characterized by its conductance.

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