中国物理B ›› 2016, Vol. 25 ›› Issue (1): 16801-016801.doi: 10.1088/1674-1056/25/1/016801

所属专题: TOPICAL REVIEW — 8th IUPAP International Conference on Biological Physics

• TOPICAL REVIEW—8th IUPAP International Conference on Biological Physics • 上一篇    下一篇

Development of mean-field electrical double layer theory

Yike Huang(黄一珂), Xiaohong Liu(刘晓红), Shu Li(李姝), Tianying Yan(言天英)   

  1. School of Materials Science and Engineering, National Institute for Advanced Materials, Collaborative Innovation Center of Chemical Science and Engineering (Tianjin), Nankai University, Tianjin 300071, China
  • 收稿日期:2015-05-18 修回日期:2015-07-20 出版日期:2016-01-05 发布日期:2016-01-05
  • 通讯作者: Tianying Yan E-mail:tyan@nankai.edu.cn
  • 基金资助:

    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).

Development of mean-field electrical double layer theory

Yike Huang(黄一珂), Xiaohong Liu(刘晓红), Shu Li(李姝), Tianying Yan(言天英)   

  1. School of Materials Science and Engineering, National Institute for Advanced Materials, Collaborative Innovation Center of Chemical Science and Engineering (Tianjin), Nankai University, Tianjin 300071, China
  • Received:2015-05-18 Revised:2015-07-20 Online:2016-01-05 Published:2016-01-05
  • Contact: Tianying Yan E-mail:tyan@nankai.edu.cn
  • Supported by:

    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).

摘要:

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.

关键词: electric double layer, mean field theory, differential capacitance, supercapacitor

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.

Key words: electric double layer, mean field theory, differential capacitance, supercapacitor

中图分类号:  (Liquid-solid interfaces)

  • 68.08.-p
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)