Approximate Expression for the Double-Layer Interaction Energy between Two Parallel Plates with Constant Surface Charge Density
✍ Scribed by Hiroyuki Ohshima
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 91 KB
- Volume
- 212
- Category
- Article
- ISSN
- 0021-9797
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✦ Synopsis
An approximate expression for the potential energy of the double-layer interaction between two parallel similar plates with constant surface charge density is derived via a novel linearization method, in which the Poisson-Boltzmann is linearized with respect to the deviation of the electric potential from the surface potential (which is a function of the interplate separation h). This approximation works quite well for small plate separations h for all values of the surface charge density (or the unperturbed surface potential) and gives a correct limiting form of the interaction energy (or the interaction force) as h 3 0.