Closed-form solution of mid-potential between two parallel charged plates with more extensive application

doi:10.1088/1674-1056/24/10/108203

中国物理B ›› 2015, Vol. 24 ›› Issue (10): 108203-108203.doi: 10.1088/1674-1056/24/10/108203

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

Closed-form solution of mid-potential between two parallel charged plates with more extensive application

商翔宇^{a b}, 杨晨^b, 周国庆^a

a State Key Laboratory for Geomechanics & Deep Underground Engineering, China University of Mining and Technology, Xuzhou 221000, China;
b School of Mechanics & Civil Engineering, China University of Mining and Technology, Xuzhou 221000, China

收稿日期:2015-01-22 修回日期:2015-05-06 出版日期:2015-10-05 发布日期:2015-10-05
基金资助:
Project supported by the National Key Basic Research Program of China (Grant No. 2012CB026103), the National Natural Science Foundation of China (Grant No. 51009136), and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2011212).

Closed-form solution of mid-potential between two parallel charged plates with more extensive application

Shang Xiang-Yu (商翔宇)^{a b}, Yang Chen (杨晨)^b, Zhou Guo-Qing (周国庆)^a

a State Key Laboratory for Geomechanics & Deep Underground Engineering, China University of Mining and Technology, Xuzhou 221000, China;
b School of Mechanics & Civil Engineering, China University of Mining and Technology, Xuzhou 221000, China

Received:2015-01-22 Revised:2015-05-06 Online:2015-10-05 Published:2015-10-05
Contact: Shang Xiang-Yu E-mail:xyshang@cumt.edu.cn
Supported by:
Project supported by the National Key Basic Research Program of China (Grant No. 2012CB026103), the National Natural Science Foundation of China (Grant No. 51009136), and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2011212).

摘要/Abstract

摘要：

Efficient calculation of the electrostatic interactions including repulsive force between charged molecules in a biomolecule system or charged particles in a colloidal system is necessary for the molecular scale or particle scale mechanical analyses of these systems. The electrostatic repulsive force depends on the mid-plane potential between two charged particles. Previous analytical solutions of the mid-plane potential, including those based on simplified assumptions and modern mathematic methods, are reviewed. It is shown that none of these solutions applies to wide ranges of inter-particle distance from 0 to 10 and surface potential from 1 to 10. Three previous analytical solutions are chosen to develop a semi-analytical solution which is proven to have more extensive applications. Furthermore, an empirical closed-form expression of mid-plane potential is proposed based on plenty of numerical solutions. This empirical solution has extensive applications, as well as high computational efficiency.

关键词: charged plate, mid-plane potential, semi-analytical solution, empirical closed-formed solution

Abstract:

Key words: charged plate, mid-plane potential, semi-analytical solution, empirical closed-formed solution

中图分类号: (Electrolytes)

82.45.Gj

82.70.Dd (Colloids)

商翔宇, 杨晨, 周国庆. Closed-form solution of mid-potential between two parallel charged plates with more extensive application[J]. 中国物理B, 2015, 24(10): 108203-108203.

Shang Xiang-Yu (商翔宇), Yang Chen (杨晨), Zhou Guo-Qing (周国庆). Closed-form solution of mid-potential between two parallel charged plates with more extensive application[J]. Chin. Phys. B, 2015, 24(10): 108203-108203.

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Closed-form solution of mid-potential between two parallel charged plates with more extensive application

Closed-form solution of mid-potential between two parallel charged plates with more extensive application

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