Transport in one dimensional Coulomb gases: From ion channels to nanopores

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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New references are have been added and discussed. 18 pages, 8 figures

Scientific paper

We consider a class of systems where, due to the large mismatch of dielectric constants, the Coulomb interaction is approximately one-dimensional. Examples include ion channels in lipid membranes and water filled nanopores in silicon or cellulose acetate films. Charge transport across such systems possesses the activation behavior associated with the large electrostatic self-energy of a charge placed inside the channel. We show here that the activation barrier exhibits non-trivial dependence on the salt concentration in the surrounding water solution and on the length and radius of the channel.

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