Previously, the current author and his team developed all-atom molecular dynamics (MD) simulation frameworks for capturing the equilibrium behavior of such hydrated PE brushes (both anionic and cationic brushes). The use of the all-atom MD framework enabled the identification of the role of each atom of the PE brushes in determining their properties and at the same time provided a detailed description of the PE-brush-supported water molecules and counterions. Das and co-workers also employed this all-atom MD simulation framework for capturing the effect of functionalizing the nanochannel walls with such PE brushes in regulating the electroosmotic transport and pressure-driven electrokinetic transport. Specifically, for the case where the nanochannels were grafted with Na + -ion-screened anionic PAA brushes, there occurred overscreening (OS) of the brush charges, which in turn led to coion-driven EOS flow for smaller electric field strengths. This OS disappeared at larger electric field strengths, enforcing a counterion-driven EOS flow at greater field strengths; hence there occurred a reversal in the EOS flow direction by a mere change in the strength of the electric field. In another study, it was shown that this co-ion-driven EOS flow in nanochannels grafted with Na + -ion-screened PAA brushes enforced simultaneous energy generation and flow enhancement in presence of a pressure-driven background flow. Finally, in a third paper, the effect of changing the screening counterions in triggering the OS effect (and therefore the nature of the EOS transport) in PAAbrush-grafted (PAA: poly-acrylic acid) nanochannels was probed. In a recent study, we have extended our analysis by employing all-atom MD simulations for capturing the EOS transport in nanochannels grafted with cationic PE brushes [chloride-ion-screened PMETA brushes or PMETAC brushes; PMETAC: Poly(2-(methacryloyloxy)ethyl trimethylammonium chloride]. Most remarkably, we observed a non-linear increase in the EOS flow strength: a 2-fold increase in the electric field strength led to a much greater than 2-fold increase in the EOS volume flow rate. In order to figure out the mechanism causing such a non-linear OS flow strength increase, we had to carry out an extensive set of analysis, as we had little clue about which quantity to study. It took us to several months and several rounds of supporting simulations to eventually identify that such a non-linear increase in the flow strength is due to three interrelated factors. First, there occurs a unique deformation of the PMETA brushes, where it deforms in such a manner that a part of it becomes parallel to the brush-bulk interface and this deformation characterizes an antielectrophoretic response of the PMETA brushes since despite being positively charged, it bends in a direction opposite to that of the electric field. Second, in response to this unique brush deformation, the counterions, too, get expelled from the interior of the brush layer, but instead of leaving the brush layer completely, they localize in this same brush-bulk interface. As a consequence, the overall brush layer remains fully screened, although a significant fraction of the counterions becomes "freer" to move as they are not located deep inside the brush layer. Third, these counterions pull with them hydrated water molecules; therefore, there is now a significant fraction of counterion-supported water molecules at the "freer" location of the brush-bulk interface. Such a scenario ensures that under the application of the electric field, a significant fraction of the counterions and the water molecules hydrating these counterions move much more freely and therefore, at a significant faster velocity, eventually causing this non-linearly large EOS transport.