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arXiv 1703.09591cond-mat.soft
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弯曲电极处的电解质溶液。I.介观方法

Electrolyte solutions at curved electrodes. I. Mesoscopic approach

Andreas Reindl, Markus Bier, S. Dietrich

摘要:

在泊松-玻尔兹曼(PB)方法中,电解质与平面,球形和圆柱形电极接触进行了系统的分析。研究了表面电荷密度$σ$和离子强度$I$对电容$C$的影响。表面电荷密度对小曲率的电容有很强的影响,而对大曲率的行为变得独立于$σ$。小曲率的展开引起电容系数,其仅取决于单个参数,从而允许方便的分析。在大曲率下的普遍行为可以通过解析表达式来捕获。

英文摘要:

Within the Poisson-Boltzmann (PB) approach electrolytes in contact with planar, spherical, and cylindrical electrodes are analyzed systematically. The dependences of their capacitance $C$ on the surface charge density $σ$ and the ionic strength $I$ are examined as function of the wall curvature. The surface charge density has a strong effect on the capacitance for small curvatures whereas for large curvatures the behavior becomes independent of $σ$. An expansion for small curvatures gives rise to capacitance coefficients which depend only on a single parameter, allowing for a convenient analysis. The universal behavior at large curvatures can be captured by an analytic expression.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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