Electrical Potential Distribution around a Charged Colloidal Particle: Nonlinear Integral Equation

Authors

Yongxian Qian, Dept of Geophys Exploration, Jianghan Petroleum Inst, Jingzhou, Hubei 434102
Hao Deng, Dept of Chem. Engin., Jianghan Petroleum Inst, Jingzhou, Hubei 434102
Guangzheng Yang, Dept of Chem. Engin., Jianghan Petroleum Inst, Jingzhou, Hubei 434102

Corresponding Author

Yongxian Qian

Abstract

The electrical potential distribution around a charged colloidal particle in a solution of general electrolytes is governed by the nonlinear Poisson Boltzmann equation, which is a differential equation and difficult to solve analytically. In this paper we numerically calculate the electrical potential using nonlinear Qian Poisson Bolazmann integral equation (PBIE). First, we introduce the PBIE derived from the physical principles for electrostatic fields and thermodynamic systems. Then the PBIE is numerically solved by means of iteration, in which the discrete potential is solely used. Finally, the accuracy of the numerical solutions proposed here is discussed.

Keywords

Electrical potential distribution, Colloidal particle, General electmolyte, Electrical double layer, Poisson-Boltmann equation, Integral equation

DOI Link

https://doi.org/10.61558/2993-074X.2655

Publication Date

1997-08-28

Online Available Date

1997-08-28

Revised Date

1997-05-20

Received Date

1997-03-10

Recommended Citation

Yongxian Qian, Hao Deng, Guangzheng Yang. Electrical Potential Distribution around a Charged Colloidal Particle: Nonlinear Integral Equation[J]. Journal of Electrochemistry, 1997 , 3(3): 244-251.
DOI: 10.61558/2993-074X.2655
Available at: https://jelectrochem.xmu.edu.cn/journal/vol3/iss3/1