Approximate expression for the potential energy of double-layer interaction between two parallel similar plates with constant surface potential |
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| Affiliation: | 1. Department of Engineering Mechanics, Dalian University of Technology, No. 2 Linggong Road, Dalian, China;2. DUT-BSU joint Institute, Dalian University of Technology, Dalian, China;3. State Key Laboratory for Industrial Equipment and Structural Analysis, Dalian University of Technology, Dalian, China |
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| Abstract: | ![]()
An approximate equation for the electric potential distribution is obtained by linearizing the Poisson–Boltzmann with respect to the deviation of the electric potential from the surface potential. On the basis of the solution to this linearized Poisson–Boltzmann equation, an approximate expression is derived for the potential energy of the double layer interaction per unit area between two parallel similar plates at constant surface potential. It is found that this linearization approximation works quite well for small plate separations for all values of the surface potentials. |
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