Novel experimental techniques allow
for the manipulation and interrogation
of biomolecules between metallic probes immersed in micro/nanofluidic
channels. The behavior of ions in response to applied fields is a
major issue in the use of these techniques in sensing applications.
Here, we experimentally and theoretically elucidate the behavior of
background currents in these systems. These large currents have a
slowly decaying transient response, as well as noise that increases
with ionic concentration. Using mechanically controllable break junctions
(MCBJ), we study the ionic response in nanogaps with widths ranging
from a few nanometers to millimeters. Moreover, we obtain an expression
for the ionic current by solving time-dependent Nernst–Planck
and Poisson equations. This expression shows that after turning on
an applied voltage, ions rapidly respond to the strong fields near
the electrode surface, screening the field in the process. Ions subsequently
translocate in the weak electric field and slowly relax within the
diffusion layer. Our theoretical results help to explain the short-
and long-time behavior of the ionic response found in experiments,
as well as the various length scales involved.