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The iterative method in functional analysis is applied to looking for a solution of the Poisson-Boltzmann equation in order to describe the problems of the distribution of the potentials in the electric double layer (EDL) inside the water pool for a cylindrical inverse micelle. Potentials as a function of the position of a particular point in EDL are computed, which display a quantitative agreement with those from earlier calculation of Debye and Hückel in the case of low potentials. But it is also shown that in the higher-potential range the iterative calculations can give more accurate re- sults. These results indicate the utility of this functional analysis technique in the description of the properties of EDL for a cylindrical inverse micelle.
The iterative method in functional analysis is applied to looking for a solution of the Poisson-Boltzmann equation in order to describe the problems of the distribution of the potentials in the electric double layer (EDL) inside the water pool for a cylindrical inverse micelle. Potentials as a function of the position of a particular point in EDL are computed, which display a quantitative agreement with those from earlier calculation of Debye and Hückel in the case of low potentials. But it is also shown that the higher-potential range the iterative These results indicate the utility of this functional analysis technique in the description of the properties of EDL for a cylindrical inverse micelle.