Approximate solutions to the Poisson-Boltzmann equation in spherical and cylindrical geometry

Abstract Approximate solutions of the Poisson–Boltzmann equation are given for the electrostatic potentials around a charged sphere and charged cylinder. The expressions are obtained from combining various results in limits where exact solutions are available. The proposed equations match with numerical solutions to the Poisson–Boltzmann equation for arbitrary values of the double layer thickness.

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