Electroneutrality and chemical potential balance in conventional model
s for ions in charged capillaries are discussed. The Poisson-Boltzmann
(PB) equation and molecular dynamics (MD) simulation of ions inside a
n infinitely long charged pore show that inconsistencies exist. The PB
solution shows that chemical potentials of individual ions are the sa
me and electroneutrality is obeyed provided that the correct boundary
condition is used at the wall. The MD simulations show that for a neut
ral system, the chemical potentials of the ions are different and henc
e they cannot be in equilibrium with a bulk solution. Modifications of
existing models and set-ups of simulations are necessary to model the
behaviour of ions in capillaries in equilibrium with a bulk solution.