曲率
蒙特卡罗方法
微分电容
物理
电容
电场
平均场理论
平均曲率
电荷密度
统计物理学
计算物理学
凝聚态物理
量子力学
几何学
数学
统计
电极
作者
Daniel L. Z. Caetano,Sidney J. de Carvalho,Guilherme Volpe Bossa,Sylvio May
出处
期刊:Physical review
日期:2021-09-23
卷期号:104 (3)
被引量:5
标识
DOI:10.1103/physreve.104.034609
摘要
Monte Carlo simulations are employed to determine the differential capacitance of an electric double layer formed by small size-symmetric anions and cations in the vicinity of weakly to moderately charged macroions. The influence of interfacial curvature is deduced by investigating spherical macroions, ranging from flat to moderately curved. We also calculate the differential capacitance using a previously developed mean-field model where, in addition to electrostatic interactions, the excluded volumes of the ions are taken into account using either the lattice-gas or the Carnahan-Starling equation of state. For both equations of state, we compare the mean-field model for arbitrary curvature with a recently developed second-order curvature expansion. Our Monte Carlo simulations predict an increase in the differential capacitance with growing macroion curvature if the surface charge density is small, whereas for moderately charged macroions the differential capacitance passes through a local minimum. Both mean-field models tend to somewhat overestimate the differential capacitance as compared with Monte Carlo simulations. At the same time, they do reproduce the curvature dependence of the differential capacitance, especially for small surface charge density. Our study suggests that the quality of mean-field modeling does not worsen when weakly or moderately charged macroions exhibit spherical curvature.
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