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Closed-form solution of mid-potential between two parallel charged plates with more extensive application
- Source :
- Chinese Physics B. 24:108203
- Publication Year :
- 2015
- Publisher :
- IOP Publishing, 2015.
-
Abstract
- 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.
Details
- ISSN :
- 16741056
- Volume :
- 24
- Database :
- OpenAIRE
- Journal :
- Chinese Physics B
- Accession number :
- edsair.doi...........3463159665f6eb01c13bb81e809ea1bf