The room-temperature ionic liquids have unique chemical, electrochemical, and physical properties and they have wide range of applications. One of unique features of ionic liquids is the ion-ion correlation effect. In the present work, ion-ion correlation effects in the nanoslits or nanopores are investigated by both numerical and perturbation analyses. Especially, we pay attention to the effects on the disjoining pressure (surface force exerted on the unit area of the slit or pore surface) and the specific capacitance. The correlation effect is represented in terms the dimensionless correlation length ${\delta }_c=l_c/{\kappa }^{-1}$, and a small parameter $\alpha \equiv 1/{\delta }_c$ is adopted for the cases of large correlation effects.

The two kinds of boundary condition for the Bazant-Storey-Kornyshev model, the zero correlation boundary condition and the continuous electrical stress boundary condition are used and the results are compared. In both cases of boundary conditions, the negative disjoining pressure is observed and the specific capacitance shows maximum behavior in terms of the gap size or the pore diameter but they have different behaviors. Using perturbation analysis, the different behaviors of osmotic pressure and the specific capacitance of two boundary conditions are predicted analytically.

室温离子液体具有独特的化学，电化学和物理性质，具有广泛的应用范围。离子液体的独特特征之一是离子-离子相关效应。在目前的工作中，通过数值和扰动分析来研究纳米缝或纳米孔中的离子-离子相关效应。特别是，我们要注意对分离压力（施加在缝隙或孔隙表面的单位面积上的表面力）和比电容的影响。相关效应用无量纲相关长度表示${\delta }_C={升}_C/{\kappa }^{-\mathrm{1个}}$和一个小的参数 $\alpha \equiv \mathrm{1个}/{\delta }_C$ 在相关效果大的情况下采用。

Bazant-Storey-Kornyshev模型使用两种边界条件，即零相关边界条件和连续电应力边界条件，并对结果进行了比较。在两种边界条件下，都观察到负的分离压力，并且比电容在间隙尺寸或孔径方面显示出最大的行为，但是它们具有不同的行为。使用扰动分析，可以分析预测两种边界条件下渗透压的不同行为和比电容。