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arXiv 0910.3635cond-mat.softcond-mat.dis-nn
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金属/离子导体界面双电层的电容:能有多大?

Capacitance of the Double Layer Formed at the Metal/Ionic-Conductor Interface: How Large Can It Be?

Brian Skinner, M. S. Loth, B. I. Shklovskii

摘要:

在金属/离子导体界面处形成的双层的电容可以非常大,使得双层的表观宽度小至0.3 μ m。平均场论无法解释如此大的电容.我们提出了另一种理论的离子双层,它允许在金属中的图像电荷的离散离子的绑定。我们表明,在小电压的双电层的电容是有限的,仅由弱偶极-偶极排斥之间的绑定离子,因此是非常大的。在大电压下,来自电容器电极之一的束缚离子的耗尽触发电容崩溃到平均场值。

英文摘要:

The capacitance of the double layer formed at a metal/ionic-conductor interface can be remarkably large, so that the apparent width of the double layer is as small as 0.3 Å. Mean-field theories fail to explain such large capacitance. We propose an alternate theory of the ionic double layer which allows for the binding of discrete ions to their image charges in the metal. We show that at small voltages the capacitance of the double layer is limited only by the weak dipole-dipole repulsion between bound ions, and is therefore very large. At large voltages the depletion of bound ions from one of the capacitor electrodes triggers a collapse of the capacitance to the mean-field value.

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