We consider a class of systems where, due to the large mismatch of dielectricconstants, the Coulomb interaction is approximately one-dimensional. Examplesinclude ion channels in lipid membranes and water filled nanopores in siliconor cellulose acetate films. Charge transport across such systems possesses theactivation behavior associated with the large electrostatic self-energy of acharge placed inside the channel. We show here that the activation barrierexhibits non-trivial dependence on the salt concentration in the surroundingwater solution and on the length and radius of the channel.
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