A simple algorithm for the calculation of the electric double layer potential distribution in a charged cylindrical narrow pore.

A simple algorithm is presented for obtaining an approximate analytic solution to the cylindrical Poisson-Boltzmann equation for the electric double layer potential distribution in a charged cylindrical narrow pore filled with an electrolyte solution. Agreement with the exact numerical solution is excellent for low-to-moderate values of the pore surface potential when the pore radius is less than the Debye length. The obtained results are thus considerably better approximations than those previously obtained by Martynov and Avdeev (Colloid J 44: 626-632 (1983)). Approximate analytic expressions are also derived for the relationship between the pore surface charge density and the pore surface potential. [ABSTRACT FROM AUTHOR]