Development of mean-field electrical double layer theory

doi:10.1088/1674-1056/25/1/016801

Abstract

In order to understand the electric interfacial behavior, mean field based electric double layer (EDL) theory has been continuously developed over the past 150 years. In this article, we briefly review the development of the EDL model, from the dimensionless Gouy-Chapman model to the symmetric Bikerman-Freise model, and finally toward size-asymmetric mean field theory models. We provide the general derivations within the framework of Helmholtz free energy of the lattice-gas model, and it can be seen that the above-mentioned models are consistent in the sense that the interconversion among them can be achieved by reducing the basic assumptions.

Keywords: electric double layer mean field theory differential capacitance supercapacitor

Received: 18 May 2015
Revised: 20 July 2015
Accepted manuscript online:

PACS:	68.08.-p	(Liquid-solid interfaces)
	68.08.De	(Liquid-solid interface structure: measurements and simulations)
	73.30.+y	(Surface double layers, Schottky barriers, and work functions)
	82.47.Uv	(Electrochemical capacitors; supercapacitors)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 21421001, 21373118, and 21203100), the Natural Science Foundation of Tianjin, China (Grant No. 13JCQNJC06700), the MOE Innovation Team of China (Grant No. IRT13022), and NFFTBS (Grant No. J1103306).

Corresponding Authors: Tianying Yan
E-mail: tyan@nankai.edu.cn

Cite this article:

Yike Huang(黄一珂), Xiaohong Liu(刘晓红), Shu Li(李姝), Tianying Yan(言天英) Development of mean-field electrical double layer theory 2016 Chin. Phys. B 25 016801

[1]	Bard A J and Faulkner L R 1980 Electrochemical Methods Fundamentals and Applications, 2nd edn. (Beijing: Chemical Industry Press) pp. 379-384 (in Chinese)
[2]	Helmholtz H 1853 Ann. Phys. 89 211
[3]	Chmiola J, Yushin G, Gogotsi Y, Portet C, Simon P and Taberna P L 2006 Science 313 1760
[4]	Gouy L G 1910 J. Phys. Theor. Appl. 9 457
[5]	Chapman D L 1913 Philos. Mag. 25 475
[6]	Stern O 1924 Z. Elektrochem. 30 508
[7]	Bazant M Z, Kilic M S, Storey B D and Ajdari A 2009 Adv. Colloid Interface Sci. 152 48
[8]	Han Y N, Huang S H and Yan T Y 2014 J. Phys.: Condens. Matt. 26 284013
[9]	Bikerman J J 1942 Philos. Mag. 33 384
[10]	Kornyshev A A 2007 J. Phys. Chem. B 111 5545
[11]	Freise 1952 Z. Elektrochem. 56 822
[12]	Kilic M S, Bazant M Z and Ajdari A 2007 Phys. Rev. E 75 021502
[13]	Kilic M S, Bazant M Z and Ajdari A 2007 Phys. Rev. E 75 021503
[14]	Fedorov M V and Kornyshev A A 2014 Chem. Rev. 114 2978
[15]	Borukhov I, Andelman D and Orland H 1997 Phys. Rev. Lett. 79 435
[16]	Fedorov M V and Kornyshev A A 2008 J. Phys. Chem. B 112 11868
[17]	Chu V B, Bai Y, Lipfert J and Doniach S 2007 Biophys. J. 93 3202
[18]	Lu B Z and Zhou Y C 2011 Biophys. J. 100 2475

[1]	Morphological effect on electrochemical performance of nanostructural CrN Zhengwei Xiong(熊政伟), Xuemei An(安雪梅), Qian Liu(刘倩), Jiayi Zhu(朱家艺), Xiaoqiang Zhang(张小强), Chenchun Hao(郝辰春), Qiang Yang(羊强), Zhipeng Gao(高志鹏), and Meng Zhang(张盟). Chin. Phys. B, 2021, 30(12): 128201.
[2]	Reversal current observed in micro-and submicro-channel flow under non-continuous DC electric field Yi-fei Duan(段一飞), Hong-wei Ma(马宏伟), Ze-yang Gao(高泽阳), Kai-ge Wang(王凯歌), Wei Zhao(赵伟), Dan Sun(孙聃), Gui-ren Wang(王归仁), Jun-jie Li(李俊杰), Jin-tao Bai(白晋涛), Chang-zhi Gu(顾长志). Chin. Phys. B, 2017, 26(6): 068203.
[3]	Controllable preparation of vertically standing graphene sheets and their wettability and supercapacitive properties Hai-Tao Zhou(周海涛), Ning Yu(喻宁), Fei Zou(邹飞), Zhao-Hui Yao(姚朝晖), Ge Gao(高歌), Cheng-Min Shen(申承民). Chin. Phys. B, 2016, 25(9): 096106.
[4]	Graphene/polyaniline composite sponge of three-dimensional porous network structure as supercapacitor electrode Jiu-Xing Jiang(姜久兴), Xu-Zhi Zhang(张旭志), Zhen-Hua Wang(王振华), Jian-Jun Xu(许健君). Chin. Phys. B, 2016, 25(4): 048102.
[5]	Wavy structures for stretchable energy storage devices: Structural design and implementation Lei Wen(闻雷), Ying Shi(石颖), Jing Chen(陈静), Bin Yan(严彬), Feng Li(李峰). Chin. Phys. B, 2016, 25(1): 018207.
[6]	Effect of interaction and temperature on quantum phase transition in anisotropic square-octagon lattice Bao An (保安), Zhang Xue-Feng (张雪峰), Zhang Xiao-Zhong (章晓中). Chin. Phys. B, 2015, 24(5): 050310.
[7]	Accurate treatments of electrostatics for computer simulations of biological systems: A brief survey of developments and existing problems Yi Sha-Sha (衣沙沙), Pan Cong (潘聪), Hu Zhong-Han (胡中汉). Chin. Phys. B, 2015, 24(12): 120201.
[8]	Synthesis of boron, nitrogen co-doped porous carbon from asphaltene for high-performance supercapacitors Zhou Ying (周颖), Wang Dao-Long (王道龙), Wang Chun-Lei (王春雷), Jin Xin-Xin (金新新), Qiu Jie-Shan (邱介山). Chin. Phys. B, 2014, 23(8): 086101.
[9]	Low-voltage antimony-doped SnO₂ nanowire transparent transistors gated by microporous SiO₂-based proton conductors Xuan Rui-Jie (轩瑞杰), Liu Hui-Xuan (刘慧宣 ). Chin. Phys. B, 2012, 21(8): 088104.
[10]	New method for calculating the Berry connection in atom–molecule systems Cui Fu-Cheng (崔傅成), Wu Bao-Jun (吴宝俊 ). Chin. Phys. B, 2012, 21(11): 110303.
[11]	Effects of $\sigma^{\ast }$ and $\varPhi$ mesons on the surface redshift of a neutron star Zhao Xian-Feng(赵先锋) . Chin. Phys. B, 2011, 20(3): 039701.
[12]	Enhanced etching of silicon dioxide guided by carbon nanotubes in HF solution Zhao Hua-Bo(赵华波), Ying Alex Yi-Qun(应轶群), Yan Feng(严峰), Wei Qin-Qin(魏芹芹), Fu Yun-Yi(傅云义), Zhang Yan(张岩), Li Yan(李彦), Wei Zi-Jun(魏子钧), and Zhang Zhao-Hui(张朝晖) . Chin. Phys. B, 2011, 20(10): 108103.
[13]	Fast impurity solver for dynamical mean field theory based on second order perturbation around the atomic limit Zhuang Jia-Ning(庄嘉宁), Liu Qing-Mei(刘青梅), Fang Zhong(方忠), and Dai Xi(戴希). Chin. Phys. B, 2010, 19(8): 087104.
[14]	Glassy phase and thermodynamics for random field Ising model on spherical lattice in magnetic field Khalid Bannora, Galal Ismail, and Wafaa Hassan. Chin. Phys. B, 2010, 19(10): 107501.
[15]	Generalization of iterative perturbation theory and coherent potential approximation (ITP+CPA) to double exchange model with orbital degeneracy Liu Zi-Xin(刘自信), Wen Sheng-Hui(文生辉), and Li Ming(李明). Chin. Phys. B, 2008, 17(6): 2277-2280.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Development of mean-field electrical double layer theory

Cite this article:

Online attention