Abstract
The electrostatic interaction between two particles covered by an ion-penetrable charged membrane suspended in ana:belectrolyte solution is estimated. A perturbation method is employed to solve the governing nonlinear Poisson–Boltzmann equation. The approximate analytical expression derived for potential distribution yields a sufficiently accurate estimate. Both the stability ratio and the critical coagulation concentration of the counterions of the system under consideration are derived. The results of a numerical simulation reveal that the stability ratio decreases with an increase in the size of a particle and increases with the total amount of fixed charges in the membrane phase. For a constant total amount of fixed charges and particle size, the stability ratio increases with a decrease in the thickness of the membrane. We show that monodispersed particles are more stable than polydispersed particles.
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