Polymer translocation experiments typically involve anionic polyelectrolytes
such as DNA molecules driven through negatively charged nanopores. Quantitative
modelling of polymer capture to the nanopore followed by translocation
therefore necessitates the consideration of the electrostatic barrier resulting
from like-charge polymer-pore interactions. To this end, in this work we couple
mean-field level electrohydrodynamic equations with the Smoluchowski formalism
to characterize the interplay between the electrostatic barrier, the
electrophoretic drift, and the electro-osmotic liquid flow. In particular, we
find that due to distinct ion density regimes where the salt screening of the
drift and barrier effects occur, there exists a characteristic salt
concentration maximizing the probability of barrier-limited polymer capture
into the pore. We also show that in the barrier-dominated regime, the polymer
translocation time increases exponentially with the membrane charge and decays
exponentially fast with the pore radius and the salt concentration. These
results suggest that the alteration of these parameters in the barrier-driven
regime can be an efficient way to control the duration of the translocation
process and facilitate more accurate measurements of the ionic current signal
in the pore