  The electrostatic screening of charge in one-dimensional confinement leads to
long-range breakdown in electroneutrality within a nanopore. Through a series
of continuum simulations, we demonstrate the principles of electroneutrality
breakdown for electrolytes in one dimensional confinement. We show how
interacting pores in a membrane can counteract the phenomenon of
electroneutrality breakdown, eventually returning to electroneutrality.
Emphasis is placed on applying simplifying formulas to reduce the
multidimensional partial differential equations into a single ordinary
differential equation for the electrostatic potential. Dielectric mismatch
between the electrolyte and membrane, pore aspect ratio, and confinement
dimensionality are studied independently, outlining the relevance of
electroneutrality breakdown in nanoporous membranes for selective ion transport
and separations.
